Question

The sum of two angle of a triangle is 116° and their difference is 24°. find the measure of each angle of the triangle

Answer 1

Hi Friend !!!

Here is ur answer !!!

Let the angles be a, b

a+b = 116

a-b = 24

Equating two equations we get

2a = 350

a = 150/2

a = 75

a+b = 116

75+b = 116

b = 116-75

b = 41

Hope it helps u : )

Answer 2

Let angles are x and 24 + x

Their sum = 116

x + 24 + x = 116

2x = 42

x = 42/2 = 21°

One angle = 21°
Other angle = 24+21=45°
Third angle = 180-45-21=>114°



I hope this will help you

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