Question

the sum of two angle of a triangle is 116 degree and their difference is 24 degree find the measure of each angle of a triangle
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Answer 1

Answer:

Let us consider the sum of two angles as ∠A+∠B=116

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and the difference can be written as ∠A−∠B=24

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We know that the sum of all the angles in a triangle is 180

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So we can write it as

∠A+∠B+∠C=180

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By substituting ∠A+∠B=116

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in the above equation

116

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+∠C=180

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On further calculation

∠C=180

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−116

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By subtraction

∠C=64

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It is given that ∠A−∠B=24

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It can be written as ∠A=24

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+∠B

Now by substituting ∠A=24

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+∠Bin∠A+∠B=116

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∠A+∠B=116

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24

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+∠B+∠B=116

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On further calculation

24

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+2∠B=116

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By subtraction

2∠B=116

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−24

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2∠B=92

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By division

∠B=

2

92

∠B=46

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By substituting ∠B=46

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in ∠A=24

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+∠B

We get

∠A=24

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+46

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By addition

∠A=70

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Therefore, ∠A=70

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,∠B=46

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and ∠C=64

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Step-by-step explanation:

THIS IS THE RIGHT ANSWER