If M and N are parallel and angle 1 is 135° , what is the measure of angle 7 if angle 2 is 45 and angle 8 is 135 angle 7 is 45 what is the sum of angle 6 and angle 8?
Guys I've got the answers for the PRACTICE ANDD THE QUICKCHECK!!
Practice:
1. 45
2. 135
3. 45
4. 180
5. 4
Quick Check:
1. corresponding angles
2. vertical angles
3. alternate exterior angles
4. Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.
5. Angle 3 is 63° because angle 1 and angle 3 are vertical angles.
:3 have a cool dayy or nighttime
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Since M and N are parallel lines, then angles 1 and 7 are alternate interior angles, and they are congruent. Thus, angle 7 is also 135°.
Now, angles 7 and 8 are vertical angles, and vertical angles are always congruent. Therefore, angle 8 is also 135°.
The sum of angle 6 and angle 8 can be found since angles 6 and 8 are corresponding angles and they are congruent. Therefore, the sum of angle 6 and angle 8 is 135° + 135° = 270°.
thats not correct please try it a different way
Apologies for the mistake. Let's approach the problem differently.
Since M and N are parallel lines, we know that angle 1 and angle 7 are corresponding angles and they are congruent. Therefore, angle 7 is also 135°.
We are given that angle 2 is 45°, and angle 7 is 45°. Angle 6 is the exterior angle to angle 7, and exterior angles are equal to the sum of the two interior angles of the triangle. Thus, angle 6 = angle 7 + angle 2 = 45° + 45° = 90°.
The sum of angle 6 and angle 8 can now be found. We know that angle 8 is 135°. Therefore, the sum of angle 6 and angle 8 is 90° + 135° = 225°.
thats also inncorrect
Apologies for the confusion. Let's try to solve the problem again.
If M and N are parallel lines, then angles 1, 2, 7, and 8 are all corresponding angles.
Given that angle 1 is 135°, angle 2 is 45°, angle 7 is 45°, and angle 8 is 135°, we can find the measure of angle 6.
Since angles 1 and 7 are congruent corresponding angles, angle 1 = angle 7 = 135°.
Since angle 6 is an exterior angle to angle 7, we know that angle 6 = angle 7 + angle 8 = 45° + 135° = 180°.
Therefore, the sum of angle 6 and angle 8 is 180° + 135° = 315°.
try agian that was inncorrect aswell
Apologies for the incorrect response earlier. Let's approach the problem again.
Since M and N are parallel lines, angles 1 and 7 are alternate interior angles. Therefore, if angle 1 is 135°, then angle 7 is also 135°.
Given that angle 2 is 45°, angle 7 is 45°, and angle 8 is 135°, we can find the measure of angle 6.
Angles 6 and 8 are corresponding angles, which means they are congruent. Therefore, angle 6 is also 135°.
The sum of angle 6 and angle 8 is 135° + 135° = 270°.
So, the sum of angle 6 and angle 8 is 270°.