Question

6. ABCD is a quadrilateral. AO and BO are the angle bisectors of angels A and B which meet at O. If angle C =70°, angle D=50°, find angle AOB.

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Answer 1

Answer:

∠AOB = 60°

Step-by-step explanation:

We have ABCD is a quadrilateral.

Given that ,

∠C = 70° , ∠ P = 50°

So, ∠A+ ∠B + ∠C + ∠D=360°

(A+B) = 360° - ( C+ D)

( ∠A + ∠B) =360°-(70°+50°)

(∠A + ∠B) = 360° -120°

(∠A+∠B) = 240°

According to given questions,

∠OAB = ∠ A/2

∠OAB= ∠ B/2

Now,

∠OAB+ ∠OBA= ∠A+∠B/2= 120°

∠AOB+ 120° = 180°

∠AOB = 180°-120°

∠AOB = 60°

Hope it helps you.

Answer 2

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Step-by-step explanation: What's your name