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Trigonometry
Question

By the triangle sum theorem, the sum of the angles...

By the triangle sum theorem, the sum of the angles in a triangle is \( 180 ^ { \circ } \) . Therefore, using the given and triangle sum theorem, \(\square\) Using the substitution property, \( ( 5 x ) ^ { \circ } + ( 5 x ) ^ { \circ } + ( 8 x ) ^ { \circ } = 180 ^ { \circ }\) Simplifying the equation gets \( 18 x= 180\) . Finally, using the division property of equality, \(\square \)

\(x = 5\)   \(x = 10\)  \(x = 18\)\(m \angle P + m \angle Q + m \angle R = 90 ^ { \circ } \quad m \angle P + m \angle Q + m \angle R = 180 ^ { \circ }\)\(m \angle P + m \angle Q + m \angle R = 360 ^ { \circ }\)

Answer

\(m\angle P+ m\angle Q+ m\angle R= 180° \)

x=10

Solution
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