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ruslelena [56]
3 years ago
9

Given m∠RPS=3x-38° m∠QPR=7x-95° find m ∠QPR

Mathematics
1 answer:
ANEK [815]3 years ago
3 0

Answer:

m∠QPR = 31°

Step-by-step explanation:

So, let's keep in mind that QPS = 47 Degrees

Given that, we find that 3x - 38 + 7x - 95 = 47

from this, 10x - 133 = 47

then => 10x = 180

x = 18

So now we plug it in

--> 3(18) - 38 = RPS

54 - 38 = 16

RPS = 16 Degrees

--> 7(18) - 95 = QPR

126 - 95 = QPR

QPR = 31 Degrees

and Thus, m angle QPR is equal to 31 Degrees

Checks:

16 + 31 = 47

Total = 47

So it is correct

<u><em>Hope this helps!</em></u>

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