3 years ago

I need help solving this math problem.

Mathematics

1 answer:

Afina-wow [57]3 years ago

8 0

Answer:

∠RQS = 100°

Step-by-step 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°

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