Question

Please help asap!! Explain too!

Answer 1

x = 31°

Explanation:

Since, CB ║ FG and AB is a transverse, so ∠ BAG = ∠ ABC = 28° {Alternate angles}

Now, ∠ CAG = 90° = ∠ CAD + ∠ BAG

⇒ ∠ CAD = 90° - 28° = 62°

From, Δ ADE, ∠ ADE + ∠ DEA + ∠ EAD = 180°

⇒ ∠ ADE = 180° - 62° - 3x = 118° - 3x.

Now, ADB being a straight line, so ∠ ADE + ∠ EDC + ∠ CDB = 180°

⇒ 118 - 3x + x + 4x = 180

⇒ 2x = 62

⇒ x = 31° (Answer)