Answer:
∠ QRS = 100°
Step-by-step explanation:
Since RU bisects ∠ QRS , then
∠ QRU = ∠ SRU , that is
[tex]\frac{1}{2}[/tex] x + 10 = 50 ( subtract 10 from both sides )
[tex]\frac{1}{2}[/tex] x = 40 ( multiply both sides by 2 )
x = 80
Then
∠ QRU = [tex]\frac{1}{2}[/tex] x + 10 = 0.5 × 80 + 10 = 40 + 10 = 50°
∠ QRS = 50° + 50° = 100°
