Question

find the value of x in the following ​

Answer 1

Answer:

x = 70°

Step-by-step explanation:

∠DEA+∠AEF = 180° (supplementary angles)

∠DEA+70° = 180°

∠DEA = 110°

∠A = 90°

∠B = 90°

∠EAB+∠ABC+∠BDE+∠DEA = 360° (forming a quadrilateral)

90°+90°+∠BDE+∠110 = 360°

290°+∠BDE = 360°

∠BDE = 70°

Since ΔCDE is an isosceles triangle, ∠C = ∠D

∠C = 70°

∴ x = 70°