Question

∠AOC and ∠BOD are vertically opposite angles such that m∠AOC = a + 20, m∠BOD = 2a — 50 and A—O—B. Find m∠AOD.

Answer 1

Answer:

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Answer 2

Answer:

∠AOD = 90°

Step-by-step explanation:

In the question,

As we know that Vertically Opposite angles are equal.

∠AOC = BOD (Given)

Also,

∠AOC = a + 20

∠BOD = 2a - 50

So,

a + 20 = 2a - 50

a = 70°

So,

Now, if AOB is a line. (Given)

So,

∠AOD = 180° - ∠BOD

Now,

∠BOD = 2a - 50 = 2(70) - 50 = 90°

So,

∠AOD = 180° - 90° = 90°