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Chapter 3: Q5. (page 110)

If the measures of the acute angles of a right triangle are 2x+4and width="43" height="20" role="math">3x-9, then x=?¯.

Short Answer

Expert verified

If the measures of the acute angles of a right triangle are2x+4 and 3x−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°.

02

Step 2. Description of step.

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

As, the angles of a triangle are 2x+4, 3x−9, 90 and thesum of the angles of a triangle is 180°.

Therefore, it can be obtained that:

2x+4+3x−9+90=1805x−5=180−905x−5=905x=90+55x=95x=955x=19

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 are2x+4 and 3x−9, then x=19.

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