3 years ago

Someone Please help me answer this question

Mathematics

1 answer:

natka813 [3]3 years ago

5 0

Answer:

∠ QRS = 43°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4n - 9 + 5n - 18 + 90 = 180, that is

9n + 63 = 180 ( subtract 63 from both sides )

9n = 117 ( divide both sides by 9 )

n = 13

Thus

∠ QRS = 4n - 9 = 4(13) - 9 = 52 - 9 = 43°

∠ RSQ = 4n - 18 = 4(13) - 18 = 65 - 18 = 47°

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