Chapter 3: Q5 (page 110)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Description of step.

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

Step 2. Description of step.

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

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

Therefore, it can be obtained that:

$2 x + 4 + 3 x - 9 + 90 = 180 5 x - 5 = 180 - 90 5 x - 5 = 90 5 x = 90 + 5 5 x = 95 x = \frac{95}{5}$

Therefore, the value of x is 19.

Step 3. Write the complete statement.

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

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

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Write the complete statement.

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

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Write the complete statement.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Mechanics Maths

Statistics

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

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