In ΔABC,bisectors of ∠A and ∠B intersect at point O.If ∠C= 80°

1.	In ΔABC,bisectors of ∠A and ∠B intersect at point O.If ∠C= 80°,find the measure of ∠AOB
Answer» Given ABC is a TRIANGLE and bisectors of ∠A and ∠B INTERSECT at point O and ∠C is 80°. To find The measure of ∠AOB Solution $90° + \frac{∠C}{2} \\ \\ ⇒90° + \frac{80}{2} \\ \\ ⇒90° + 40° \\ \\ ⇒130°$ Hence, the measure of ∠AOB is 130°.

In ΔABC,bisectors of ∠A and ∠B intersect at point O.If ∠C= 80°,find the measure of ∠AOB

Answer»

Given

ABC is a TRIANGLE and bisectors of ∠A and ∠B INTERSECT at point O and ∠C is 80°.

To find

The measure of ∠AOB

Solution

$90° + \frac{∠C}{2} \\ \\ ⇒90° + \frac{80}{2} \\ \\ ⇒90° + 40° \\ \\ ⇒130°$

Hence, the measure of ∠AOB is 130°.

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In ΔABC,bisectors of ∠A and ∠B intersect at point O.If ∠C= 80°,find the measure of ∠AOB ​