The measures of two angles of a triangle are 36° and 71°. Find the measure of the third angle, and classify the triangle according to its angles.
A. 199°, acute
B. 199°, right
C. 73°, acute
D. 73°, right
To find the measure of the third angle in the triangle, we use the fact that the sum of angles in a triangle is 180°. Therefore:
Third angle = 180° - 36° - 71° = 73°
Since all three angles are less than 90°, the triangle is acute. The answer is (C) 73°, acute.
What is the correct way to classify the triangle shown below?
A triangle has no congruent sides and one angle measuring 115 degrees.
A. acute, isosceles
B. obtuse, isosceles
C. acute, scalene
D. obtuse, scalene
Since the triangle has no congruent sides, it is a scalene triangle. The angle measure of 115 degrees is between 90 and 180, so it is an obtuse angle. Therefore, the correct way to classify the triangle is (D) obtuse, scalene.
Note: For questions 9 and 10, remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.
Find the complement of the angle shown.
Find the supplement of the angle shown.
Show all your work.
The figure shows an angle with a measure of 52 degrees.
To find the complement of the angle, we use the formula:
complement = 90° - angle measure
complement = 90° - 52° = 38°
Therefore, the complement of the angle is 38 degrees.
To find the supplement of the angle, we use the formula:
supplement = 180° - angle measure
supplement = 180° - 52° = 128°
Therefore, the supplement of the angle is 128 degrees.
make it sound like a 6th grader
Ok, let me try:
So, there is this angle that has a measure of 52 degrees. And we need to find the complement of this angle. The complement is like the missing piece of the angle that makes it a right angle, which means it's equal to 90 degrees. So, we subtract the angle measure by 90 degrees. This gives us the complement as 38 degrees.
Now, the second thing we need to do is find the supplement of this angle. The supplement is like the other missing piece that makes the angle a straight line, which means it's equal to 180 degrees. So, we subtract the angle measure by 180 degrees. This gives us the supplement as 128 degrees.
And that is how we find the complement and supplement of an angle!
short answer
The complement of the angle is 38 degrees, and the supplement of the angle is 128 degrees.
with showing ur work but make it short
Complement = 90° - 52° = 38°
Supplement = 180° - 52° = 128°
like a 6th grtader did it though
Sure thing!
We start with an angle that's like this: 52 degrees. First, we need to find the complement of the angle. That's like the extra piece we need to make the angle into a right angle that's 90 degrees. We use this rule: complement = 90° - angle measure. So, we just put the numbers in and get: 90° - 52° = 38°. That's the complement!
Next, we need to find the supplement of the angle. That's like the other extra piece we need to make the whole angle a straight line that's 180 degrees. This rule is easier 'cause we just do: supplement = 180° - angle measure. We put in the numbers and get: 180° - 52° = 128°. That's the supplement!
And there you have it, the complement is 38 degrees and the supplement is 128 degrees!
The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work.
The figure shows a triangle with 2 congruent sides. The angle between the congruent sides measures x degrees and a different angle measures 70 degrees.
Since the given triangle is isosceles, the angles opposite to the congruent sides are also congruent. Let's call this angle as y degrees, as shown in the figure:
/|\
/ | \
/ | \
/___|___\
x
y
70°
We know that the sum of angles in a triangle is 180°. Therefore, we can write an equation as:
x + y + 70° = 180°
We also know that the triangle is isosceles, so the two congruent sides have the same length. Therefore, the angles opposite to these sides are congruent. We can write another equation as:
y = x
Now, we can substitute y = x in the first equation and simplify:
x + y + 70° = 180°
x + x + 70° = 180°
2x + 70° = 180°
2x = 110°
x = 55°
Therefore, the value of x in the given triangle is 55 degrees.