Question

In the adjoining figure , it is beinv given that Ao cd,ob ce and angle aob is 40 find ghe measure of angle ecd
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Answer 1

ans: Angel ECD- 140°

Explanation:

Given : angle AOB-40°

then,angle CDB-40°[corresponding angle]

As we know that the sum of two consecutive interior angles is supplementary.

so,. angle ECD +angle CDB = 180°

=>angle ECD= 180°-40°

=>angle ECD=140°

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Answer 2

Given: AO∥ CD OB ∥CE ∠AOB = 50°∠AOD = ∠CDB = 50°(when AO∥ CD and OB is the transversal)

∠ECD +∠CDB = 180°

(consecutive interior angles are supplementary, DB ∥CE and CD is the transversal)

∠ECD = 180°−50° = 130°