Answer:
Fill the blanks
1) (x)°+(3x)°+(5x)°=180°
2) x°=20°
Step-by-step explanation:
Consider the provided information.
Given: Triangle PQR with m∠P=(x)°, m∠Q=(3x)°, and m∠R=(5x)°.
We need to prove that x = 20
Consider the provided figure.
By the triangle sum theorem the sum of the angles in a triangle is equal to 180. Therefore using the give and triangle sum theorem,
m∠P+m∠Q+m∠R=180°
Now use substitution property.
(x)°+(3x)°+(5x)°=180°
Simplify the equation gets
9x°=180°
Finally, using the division property of equality.
9x°/9=180°/9
x°=20°
Hence proved
