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irinina [24]
3 years ago
6

The measure of angle Q is 75 degrees. Find the measure of angle P

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer:

m<P = 30°

Step-by-step explanation:

∆PQR has two equal sides. An isosceles ∆ has two equal sides and the angles opposite the two equal sides are congruent to each other.

Thus, we can conclude that ∆PQR is an isosceles ∆ with two equal base angles, <P and <Q.

Since m<Q = 75°, therefore, m<R = 75°.

m<P = 180 - (75 + 75) (sum of ∆)

m<P = 30°

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