Question

What is the measure of
please show step by step instructions.

Answer 1

The answer is ∠A = 88°

Explanation:

Given that there is one angle in the triangle has no been found yet. So we have to find the angle first in order to find ∠A. Let make the unknown angle as ∠X :

∠X = 180° - 38° - 50° (angle in a triangle is 180°)

= 92°

Then we have found ∠X. Next we can find ∠P. We know that ∠X and ∠P lies on a straight line so it is a 180° :

∠P = 180° - ∠X (angle on a straight line is 180°)

= 180° - 92°

= 88°

(Hope this can help you out)

Answer 2

Explanation:

We know that exterior angle of a triangle is equal to the sum of two opposite interior angles.

38° + 50° = <A

Therefore <A = 88°