Question

What the answer to PTR?

Answer 1

∠ PTR = 140°

Explanation:

∠ PTQ and ∠ RTS are vertical and congruent, thus

2x + 16 = x + 28 ( subtract x from both sides )

x + 16 = 28 ( subtract 16 from both sides

x = 12

Thus ∠PTQ = x + 28 = 12 + 28 = 40°

∠ PTQ and ∠ PTR are adjacent and supplementary, thus

∠ PTR = 180° - 40° = 140°