Mathematics

Guest

21 December, 15:30

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,.

x = 9x = 10x = 20

(x) ° + (3x) ° + (5x) °=180°

(x) ° + (3x) ° + (5x) ° = (9x) °

m∠PQR=180°