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One of the angles of a triangle is 80° and the other two angles are equal. Find the measure of each of the equal angles.

Posted by Geeta Kulkarni 4 years, 11 months ago

CBSE > Class 07 > Mathematics

4 answers

Vanshika Upmanyu 4 years, 11 months ago

Other two angles= 50°

0Thank You

Kaushal Kumar 4 years, 11 months ago

0Thank You

Prateek Kumar 4 years, 11 months ago

According to the angle sum property, we will first subtract 80⁰ from 180⁰ and then divide it by 2 as both the unknown angles are equal- 180⁰-80⁰=100⁰ 100⁰÷2=50⁰ So the answer is 50⁰.

1Thank You

Yogita Ingle 4 years, 11 months ago

Let the two angles be equal to x. Since they are equal we assume both of them to be x.

So according to angle sum property of triangle, the sum of all the interior angles of a triangle sum up to 180°.

=> ∠1 + ∠2 + ∠3 = 180°

=> x + x + 80° = 180°

=> 2x + 80° = 180°

=> 2x = 180° - 80°

=> 2x = 100°

=> x = 100° / 2

=> x = 50°

Hence the angle measure of the two equal angles are 50°.

1Thank You

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CBSE > Class 07 > Mathematics