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Chapter 3: Q5 (page 110)

Complete.

5. If the measures of the acute angles of a right triangle are2x+4 and 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, 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=955x=19

Therefore, the value of xis 19.

03

Step 3. Write the complete statement.

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

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