Given: Triangle PQR with m∠P=(5x)° , m∠Q=(5x)° , and m∠R=(8x)° .
Prove: x = 10
By the triangle sum theorem, the sum of the angles in a triangle is 180°. Therefore, using the given and triangle sum_______theorem, . Using the substitution property, (5x)°+(5x)°+(8x)°=180° . Simplifying the equation gets 18x = 180. Finally, using the division property of equality ________ .


Respuesta :

sum of the angles in a triangle = 180°

thus 5x + 5x + 8x = 180

18x = 180

divide both sides by 18

x = [tex]\frac{180}{18}[/tex] = 10


Answer:

Just took the test. The answer is in the screenshot below. :-)

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