Drag an answer to each box to complete this paragraph proof.

Given: Triangle PQR with m∠P=(x)°, m∠Q=(3x)°, and m∠R=(5x)°.

Prove: x = 20

By the triangle sum theorem, the sum of the angles in a triangle is equal to 180°. Therefore using the given and triangle sum theorem, m∠P+m∠Q+m∠R=180° . Using the substitution property, ______. Simplifying the equation gets 9x = 180. Finally, using the division property of equality, ______.

Answers:
X = 9

X = 10

X = 20


(x)° + (3x)° + (5x)° = 180°

(x)°+(3x)° + (5x)°= (9x)°

m ∠PQR =180°