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Chapter 3: Q5 (page 110)

Complete.

If the measures of the acute angles of a right triangle are 2x+4and 3x-9, then x=?.

Short Answer

Expert verified

If the measures of the acute angles of a right triangle are 2x+4and 3x鈭�9, then x=19.

Step by step solution

01

Step 1. Description of step.

In a right triangle, one of the angle has measure 90掳.

02

Step 2. Description of step.

The sum of the angles of a triangle is 180掳.

As, the angles of a triangle are 2x+4,3x鈭�9,90 and the sum of the angles of a triangle is 180掳.

Therefore, it can be obtained that:

2x+4+3x鈭�9+90=1805x鈭�5=180鈭�905x鈭�5=905x=90+55x=95x=955

Therefore, the value of x is 19.

03

Step 3. Write the complete statement. 

If the measures of the acute angles of a right triangle are 2x+4and 3x鈭�9, then x=19.

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Most popular questions from this chapter

Assume that a鈭�band c鈭�d, name all angels congruent to 鈭�2.

State the postulate or theorem that justifies each statement.

m鈭�4=m鈭�8

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

Name five lines that appear to be parallel toAG炉.

Complete each statement with the word always, sometimes, or never.

Two planes parallel to the same plane are ?parallel to each other.

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

and

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