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°