Question

Can someone help me out with this question as I’m completely stuck

Answer 1

Explanation:

∠BEF = ∠ABE {Alternate interior angle}

∠BEF = 60

∠EQR = ∠ BEF {Corresponding angles}

∠EQR = 60

In ΔEQR

∠QER + ∠EQR + ∠ERQ = 180 {angle sum property}

80 + 60 +x = 180

140 + x = 180

x = 180- 140

x = 40