Question

the sum of two angles of triangle is 116 and their difference is 24 . Find the measure of each of the angle of the triangle​

Answer 1

To Find :

• we need to find the measure of each of the angles of triangle.

Given :

• Sum of two angles of triangle = 116
• Difference of two angles = 24

Let the two triangles be x and y

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✭Sum of two angles of triangle is 116

⟹ x + y = 116 ....1)

✭Difference of two angles is 24

⟹ x - y = 24

⟹ x = 24 + y ....2)

• Substituting value of x in ..1)

⟹ 24 + y + y = 116

⟹ 2y + 24 = 116

⟹ 2y = 116 - 24

⟹ 2y = 92

⟹ y = 92/2

⟹ y = 46

• Putting value of y in 2)

⟹ x = 24 + y

⟹ x = 24 + 46

⟹ x = 70

Hence,

• Measure of two angles of triangle is 46° and 70°

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Answer 2

Answer:

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