Question

Pls show your work to answer the question.

Answer 1

∠ EDC = 55°

Explanation:

Since Δ ADE is isosceles then the 2 base angles are congruent , then

∠ EDA =
`(180-20)/(2)` =
`(160)/(2)` = 80°

Similarly for Δ BCD

∠ CDB =
`(180-90)/(2)` =
`(90)/(2)` = 45°

The 3 angles on AB sum to 180° , that is

80° + ∠ EDC + 45° = 180°

∠ EDC + 125° = 180° ( subtract 125° from both sides )

∠ EDC = 55°