Question

How do I solve the triangle for angle P?

Answer 1

∠ P = 29°

Explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

56° is an exterior angle of the triangle , then

∠ P + ∠ R = 56°

∠ P + 27° = 56° ( subtract 27° from both sides )

∠ P = 29°

Answer 2

Answer: P = 29

Explanation:

First, we know all angles of a triangle equal 180. So let's subtract the known one. 180 - 27 = 153. Also, the exterior and interior of any triangle angles = 180. So we can subtract 180 from 56 and subtract that result from 153: 180 - 56 = 124. Now that we have the interior angle for O, we just subtract 124 from 153: 153 - 124 = 29. So P = 29.