Question

$\bf \underline \red {MY \: QUESTION:- }$

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

Answer 1

Answer:

STEP BY STEP EXPLANATION :

GIVEN :

ABCD = a quadrilateral

Angle C = 70°

Angle D = 50°

TO FIND :

AOB

SOLUTION :

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 question,

∠OAB = ∠A / 2 ( Angle A by 2 )

∠OAB = ∠B / 2 ( Angle B by 2 )

Now,

⇒∠AOB + 120° = 180°

⇒∠AOB = 180° − 120°

⇒∠AOB = 60°

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