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Chapter 3: Q12. (page 111)

If xandwidth="59" height="20" role="math">2x-15 represent the measures of the acute angles of a right triangle, find the value of x.

Short Answer

Expert verified

The value ofx 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.

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 ofx is 35.

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Most popular questions from this chapter

Name the two lines and the transversal that form each pair of angles.

and

Name several lines skew to

Complete each statement with the word always, sometimes, or never. Two skew lines are parallel.

Classify each pair of angles as alternate interior, same side interior or corresponding angles

art

and

State the postulate or theorem that justifies each statement.

鈭�3 is supplementary to鈭�5
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