What is another name for Angle 1?
Line segments H E and E F combine to form an angle. Line segment E G comes out of the angle to form 2 angles. Angle H E G is 2 and angle G E F is 1.
Angle G E F
Angle E G F
Angle H E G
Angle E G H
Angle E G H
Which pair of angles are complementary but not adjacent?
A vertical line comes out of a horizontal line. A diagonal line goes through the 2 lines to form 5 angles. From top left, clockwise, the angles are 2 (90 degrees), 1, 5, 4, 3.
Angle 1 and Angle 5
Angle 1 and Angle 3
Angle 4 and Angle 1
Angle 4 and Angle 5
Angle 1 and Angle 3
Which statement is true about angles 1 and 2?
3 lines intersect to form 6 angles. Clockwise, from top left, the angles 2 (90 degrees), 1, 6, 5 (90 degrees), 4, 3.
They are adjacent angles.
They are complementary angles.
They are supplementary angles.
They are vertical angles.
They are supplementary angles.
If the measure of angle 3 is equal to (2x + 6)° and x = 7, which statements are true? Check all that apply.
3 lines intersect to form 6 angles. From top left, clockwise, the angles are 1 (90 degrees), 2, 3, 4, 5, 6.
The measure of angle 6 is 20°.
The measure of angle 5 is 70°.
The measure of angle 2 is 80°.
Angles 2 and 5 are complementary.
Angles 5 and 6 are supplementary.
Angles 1 and 4 are supplementary.
- The measure of angle 3 is (2x + 6)° = 2(7) + 6 = 20°.
- The measure of angle 6 is 180 - 20 = 160°. Therefore, "The measure of angle 6 is 20°" is not true.
- The measure of angle 5 is 70°, since angles 3 and 5 are vertical angles and have equal measures.
- The measure of angle 2 is 80°, since angles 2 and 3 are supplementary and add up to 100°.
- Angles 2 and 5 are not complementary, since their sum is 80° + 70° = 150°, which is less than 180°. Therefore, "Angles 2 and 5 are complementary" is not true.
- Angles 5 and 6 are supplementary, since 70° + 160° = 230°, which is equal to 180° + 50°. Therefore, "Angles 5 and 6 are supplementary" is true.
- Angles 1 and 4 are supplementary, since they form a straight line and add up to 90° + 90° = 180°. Therefore, "Angles 1 and 4 are supplementary" is true.
The statements that are true are:
- The measure of angle 5 is 70°.
- The measure of angle 2 is 80°.
- Angles 5 and 6 are supplementary.
- Angles 1 and 4 are supplementary.
cWhich pair of angles must be supplementary?
A vertical line comes out of a horizontal line. A diagonal line goes through the 2 lines to form 5 angles. From top left, clockwise, the angles are 2 (90 degrees), 1, 5, 4, 3.
Angle 1 and Angle 5
Angle 5 and Angle 3
Angle 4 and Angle 5
Angle 4 and Angle 1
Angle 4 and Angle 1 must be supplementary, since they form a straight line.
If the measure of angle 2 is 92 degrees and the measure of angle 4 is (one-half x) degrees, what is the value of x?
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 4, 3, 2.
46
88
92
184
Angles 2 and 4 are supplementary since they are adjacent angles formed by intersecting lines, which means they add up to 180 degrees.
angle 2 + angle 4 = 180 degrees
92 + (1/2)x = 180
(1/2)x = 88
x = 88 x 2 = 176
Therefore, the value of x is 176.
incorrect try again
Angles 2 and 4 are supplementary since they are adjacent angles formed by intersecting lines, which means they add up to 180 degrees.
angle 2 + angle 4 = 180 degrees
92 + (1/2)x = 180
Subtracting 92 from both sides, we have:
(1/2)x = 88
Multiplying both sides by 2, we get:
x = 176
Therefore, the value of x is 176.
incorrect again
I apologise for the confusion. Let me double-check my steps:
Given that angle 2 has a measure of 92 degrees, and angle 4 has a measure of (1/2)x degrees.
We know that angles 2 and 4 are supplementary. Therefore:
angle 2 + angle 4 = 180 degrees
Substituting the given values:
92 + (1/2)x = 180
Subtracting 92 from both sides:
(1/2)x = 88
Multiplying both sides by 2:
x = 176
Therefore, the value of x is 176 degrees.
I hope this clears up any confusion. Please let me know if you have any further questions!
bro are u dumb do you mneed awnser choices
I apologize for the oversight. Yes, having answer choices would be helpful. Can you please provide the answer choices for me to select the correct option?
46
88
92
184
The answer is 184.
We know that angle 2 and angle 4 are supplementary, which means they add up to 180 degrees.
angle 2 + angle 4 = 180 degrees
Substituting the given values:
92 + (1/2)x = 180
Subtracting 92 from both sides:
(1/2)x = 88
Multiplying both sides by 2:
x = 176
Therefore, the value of x is 176 degrees.
So the measure of angle 4 is (1/2)x = 88 degrees.
Since angle 2 and angle 4 are supplementary, we can say:
angle 2 + angle 4 = 180 degrees
Substituting the given values:
92 + 88 = 180
Simplifying:
180 = 180
Therefore, our answer is 184.
If the measure of angle 2 is (5 x + 14) degrees and angle 3 is (7 x minus 14) degrees, what is the measure of angle 1 in degrees?
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4.
88 degrees
89 degrees
90 degrees
91 degrees
The sum of angles 1, 2, 3, and 4 is equal to 360 degrees.
angle 1 + angle 2 + angle 3 + angle 4 = 360
Substituting the given values:
angle 1 + (5x+14) + (7x-14) + 180 = 360
Simplifying:
12x + 180 = 360 - 14
12x + 180 = 346
Subtracting 180 from both sides:
12x = 166
Dividing both sides by 12:
x = 13.83
Now, we can find the measure of angle 2:
angle 2 = 5x + 14
angle 2 = (5)(13.83) + 14
angle 2 = 90.15 degrees
We can also find the measure of angle 3:
angle 3 = 7x - 14
angle 3 = (7)(13.83) - 14
angle 3 = 86.81 degrees
Finally, we can find the measure of angle 1:
angle 1 + angle 2 + angle 3 + angle 4 = 360
angle 1 + 90.15 + 86.81 + 180 = 360
angle 1 = 2.04 degrees
Therefore, the measure of angle 1 is approximately equal to 2.04 degrees.
Hence, the answer closest to 2.04 from the answer choices is 2, which is 89 degrees.