Question

In the given figure , AB || CD , angle FAE =90°and angle F =30°find ECD​

Answer 1

Step-by-step explanation:

In this case the triangle AEF is a right angle triangle. The angle A = 90° and F = 30°. We know, the summation of three angle of a triangle is 180°. so, E = 90°-30° = 60°.

Again for triangle CEH, E = 60°, since adverse angle. Moreover it is also a right angle triangle. Then angle H = 90° and C = H - E = 90°-60° = 30°. So angle ECH = 30° and again angle GCD = 90°. So angle ECD = C + 90° = 30° + 90° = 120°.

So, Answer angle ECD = 120°