Question

If m<1 = 42, what must the measure of <7 be in order to prove all B?

A) 42 degrees
B) 180 degrees
C) 90 degrees
D) 138 degrees

Answer 1

To prove that all B, the measure of angle 7 must be 138 degrees (option D). Given that m<1 = 42 degrees, we can use the transversal property to find the measure of angle 7.

Step-by-step explanation:

To prove that all B, the measure of angle 7 must be 138 degrees (option D).

Given that m<1 = 42 degrees, we can use the transversal property to find the measure of angle 7. When a transversal intersects two parallel lines, the alternate interior angles are congruent. So, angle 1 and angle 7 are congruent.

Therefore, if m<1 = 42 degrees, then the measure of angle 7 must also be 42 degrees.