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3 years ago

For geometry:( i’ll give a brainist!!!

Mathematics

1 answer:

kvasek [131]3 years ago

4 0

<h3>Answer: Angle Q = 133 degrees</h3>

========================================================

Work Shown:

Recall that for any triangle, the three angles always add to 180

P+Q+R = 180

(x+13) + (10x+13) + (2x-2) = 180

(x+10x+2x) + (13+13-2) = 180

13x+24 = 180

13x = 180-24

13x = 156

x = 156/13

x = 12

Now that we know x, we can find the angle measures

angle P = x+13 = 12+13 = 25 degrees
angle Q = 10x+13 = 10*12+13 = 120+13 = 133 degrees
angle R = 2x-2 = 2*12-2 = 24-2 = 22 degrees

As a way to check if we have the right answer or not, we see that,

P+Q+R = 25+133+22 = 180

So the answer is confirmed.

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