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Chapter 3: Q12. (page 111)

If x and2x-15 represent the measures of the acute angles of a right triangle, find the value of x.

Short Answer

Expert verified

The value of x is 35.

Step by step solution

01

Step 1. Apply the definition of right-angled triangle.

A right-angled triangle is a type of triangle in which measure of one of its angles is 90 degrees.

02

Step 2. Apply an angle sum theorem.

The sum measure of all angles of a triangle is 180掳.

According to given condition,

x+2x鈭�15+90=1803x鈭�15+90=1803x=180鈭�75=105

03

Step 3. Description of step.

Divide each side of the obtained equation in step 2 by 3 to find the value of x.

3x3=1053x=35

Therefore, the value of x is 35.

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