Find the value of m in the diagram above.

Find the value of m in the diagram above.

A.

\(40^0\)

B.

\(50^0\)

C.

\(130^0\)

D.

\(140^0\)

Correct answer is C

∠EHI = ∠DEH = 40° (alternate angles are equal)
∠BEH = 90° (given)
∠BED = 90° - 40° = 50°
∠BEF = 180° - 50° = 130° (sum of angles on a straight line is 180o)
∠BEF = ∠ABE = 130° (alternate angles are equal)
∴ m = 130°