Respuesta :

danielhw2003

Answer:

The straight line ( ㅡ ) is 180, so angle Q would be 124.

And the sum of the three cabinets of the triangle is 180 degrees.

so, 180 - (124 + 27) is the angle P, and 124 + 27 are 151.

And there is the final answer. 29 degrees.

Hope it helps and please mark brainliest

The measure of P is 29°.

What is the opposite interior angle theorem?

This theorem states that the sum of the angles in the interior of a triangle opposite to an angle produced by extending a side of a triangle is equal to the external angle.

The measure of P can be found as follows:

R is given as 27°.

The external angle Q is given as 56°.

According to the opposite interior angle theorem:

∠P + ∠R = 56°

⇒ ∠P + 27° = 56°

⇒ ∠P = 56° - 27°

⇒ ∠P = 29°

The measure of the interior angle is found to be ∠P = 29°.

Therefore, we have found the measure of P to be 29°.

Learn more about the opposite interior angle theorem here: https://brainly.com/question/26278040

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