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°
+2
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Home » Mathematics » 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°.