Question

ST is parallel to RU in the figure. What is m<3 if m<1 =49

Answer 1

49

Explanation:

M<1 = M<2 - Corresponding angles are congruent

M<2 = M<3 - Vertical angles

Answer 2

6) 49°

7) 30°

Explanation:

6)

Where a transversal crosses parallel lines, alternate exterior angles are congruent. Angles 1 and 3 are alternate exterior angles, hence congruent.

∠3 = 49° . . . . . . . same as ∠1

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7)

Angles 5x and x are a linear pair, so supplementary. Angle 'a' corresponds to angle x, so is congruent to it.

5x +x = 180°

x = 180°/6 = 30°

a = 30° . . . . . . . . same as x