Question

I need help solving this math problem.

Answer 1

∠RQS = 100°

Explanation:

The angles 5x + 5 and 11x - 65 form a linear pair. That is they sum to 180°

Sum the 2 angles and equate to 180, that is

5x + 5 + 11x - 65 = 180

16x - 60 = 180 ( add 60 to both sides )

16x = 240 ( divide both sides by 16 )

x = 15

∠RQS = 11x - 65 = (11 × 15) - 65 = 165 - 65 = 100°