Question

It is being given that AO || CD, OB || CE and
<AOB = 50°.
Find the measure of <ECD.​

Answer 1

From the question,

Given that, AO ∥ CD, OB ∥ CE and ∠AOB = 50°

∠AOD = ∠CDB = 50°

[∵ Corresponding angles are equal]

Then,

∠ECD + ∠CDB = 180° …

[∵ Consecutive interior angles are supplementary]

∠ECD + 50 = 180

∠ECD = 180 – 50

∠ECD = 130°

answer : 130°

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