Question

Need help with number 9

Answer 1

• q = 38°
• r = s = 52°

Explanation:

You want angles q, r, s in the similar triangles shown.

Complementary angles

The acute angles in a right triangle are complementary:

s = 90° -38° = 52°

Corresponding angles

Where a transversal crosses parallel lines, corresponding angles are congruent:

q = 38°

r = s = 52°

The angle measures are (q, r, s) = (38°, 52°, 52°).

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