Question

Given: m∠1 = 140°, find m∠6.
A) 40°
B) 50°
C) 90°
D) 140°

Answer 1

40°, A

Explanation:

What are we going to do to figure out measure 6?

First of all, we know that measure 5 and measure 6 are equal to 180 degrees.

Second of all, we know that measure 1 and measure five are corresponding angles, which means they are congruent. If measure one is 140 degrees, measure 5 would also be 140 degrees.

So we know that measure 5 and measure 6 are equal to 180 degrees. We can now make an equation...

Let x = measure 6

140° + x = 180°

x = 40°

Answer 2

The answer is A

Explanation:

When two parallel lines are crossed by another line the angle of 1 will be equal to 4, 5, and 8. The angle 2 will be equal to 3, 6, and 7. Since a straight line has a degree of 180, the subtracted degree of 180-140=40 which would mean 2=40 which 2=6 so 6=40.