Question

Find the value of x. Find m

Answer 1

∠ QRS = 100°

Explanation:

Since RU bisects ∠ QRS , then

∠ QRU = ∠ SRU , that is

`(1)/(2)` x + 10 = 50 ( subtract 10 from both sides )

`(1)/(2)` x = 40 ( multiply both sides by 2 )

x = 80

Then

∠ QRU =
`(1)/(2)` x + 10 = 0.5 × 80 + 10 = 40 + 10 = 50°

∠ QRS = 50° + 50° = 100°