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write and solve an equation to find the measure of each angle in the triangle below.

Write And Solve An Equation To Find The Measure Of Each Angle In The Triangle Below class=

Sagot :

The given triangle is a right angle triangle. This means that one of the angles is 90 degrees. Recall, the sum of the angles in a triangle is 180 degrees. This means that

angle 1 + angle 2 + angle 3 = 180

angle 1 = 2x + 2

angle 2 = x + 10

angle 3 = 90 degrees

Thus,

2x + 2 + x + 10 + 90 = 180

We would collect like terms. Thus, we have

2x + x + 2 + 10 + 90 = 180

3x + 102 = 180

3x = 180 - 102 = 78

x = 78/3

x = 26

Thus,

angle 1 = 2(26) + 2 = 52 + 2 = 54 degrees

angle 2 = 26 + 10 = 36 degrees

angle 3 = 90 degrees

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