Question

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, Response area. Using the substitution property, (5x)°+(5x)°+(8x)°=180°. Simplifying the equation gets 18x = 180. Finally, using the division property of equality, Response area.

Answer 1

\(\sf Triangle\ PQR\ with\) \( m∠P=(5x)°, m∠Q=(5x)°, and\ m∠R=(8x)°\)
substitution property: \((5x)°+(5x)°+(8x)°=180°\)