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Anvisha [2.4K]
3 years ago
9

In ΔOPQ, m∠O = (3x+12)^{\circ}(3x+12)

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

Answer:

The measure of angle P is 80 degrees

Step-by-step explanation:

we know that

The sum of the interior angles in a  triangle must be equal to 180 degrees

In this problem we have that

m\angle O+m\angle P+m\angle Q=180^o

substitute the given values

(3x+12)^o+(4x+4)^o+(x+12)^o=180^o

solve for x

(8x+28)=180

8x=180-28

8x=152

x=19

<em>Find the measure of angle P</em>

m\angle P=(4x+4)^o

substitute the value of x

m\angle P=(4(19)+4)=80^o

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