Question

This is the only question I’m stuck on can someone explain and help me

Answer 1

x = 58°

∠P = 58°

∠PQR = 64°

Explanation:

If you add the two nonadjacent angles together they will equal the exterior angle. Setup up an equation using that info.

`58 +x=2x`

Solve for x.

`58 +x-x=2x-x\\58=x`

Since ∠P is the same as x, ∠P = 58°

To find ∠PQR, add ∠P and ∠R together and then subtract from 180°. You subtract from 180° because the sum of the three angles of a triangle equal 180°.

58 + 58 = 116

180 - 116 = 64°

∠PQR = 64°