Question

Consecutive exterior angles, angle H and are formed when two parallel lines are intersected by a transversal. If m angle H = 78°, what is m angle ___?

(A) 78°
(B) 102°
(C) 78°
(D) 78°

Answer 1

The measure of the consecutive exterior angle is 102° because exterior angles on the same side of the transversal add up to 180°; thus, subtracting 78° from 180° gives us 102°.

Step-by-step explanation:

When two parallel lines are intersected by a transversal, consecutive exterior angle are the angles on the same side of the transversal and outside the parallel lines. For example, if m angle H is 78°, the consecutive exterior angle in question would have a measure that is supplementary to m angle H because the sum of exterior angles on the same side of the transversal is always 180°. Therefore, to find the value of the missing angle, you would subtract m angle H from 180°:
180° - 78° = 102°. The correct answer is (B) 102°.