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In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?


A.) 15

B.) 25

C.) 40

D.) 50

Verified Answer :

The measure of the smallest angle of the triangle is

  1. The correct answer between all the choices given is the third

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Answer : C. 40

In a right triangle, the acute angles measure x + 15 and 2x degrees

We know right angle is 90 degree.

In right angle triangle , one angle is 90 and other two angles are x+15  and 2x

WE know sum of angles in a triangle = 180

90 + x+15 + 2x = 180 (combine like terms)

105 + 3x = 180

Subtract 105 on both sides

3x = 75 (Divide by 3 on both sides)

x= 25

In right angle triangle , one angle is 90 and other two angles are x+15  and 2x

Replace x with 25

So angles of the right triangle are 40, 50 , 90 degrees

Smallest angle of the triangle= 40

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