Chapter 3: Q5 (page 110)

Complete.
5. 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 $2 x + 4$ , $3 x - 9$ , and the sum of the angles of a triangle is $180 °$ .

Therefore, it can be obtained that:

$2 x + 4 + 3 x - 9 + 90 = 180 5 x - 5 = 180 - 90 5 x - 5 = 90 5 x = 90 + 5 5 x = 95 x = \frac{95}{5} x = 19$

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.
5. 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.5. If the measures of the acute angles of a right triangle are2x+4 and 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

Pure Maths

Mechanics Maths

Logic and Functions

Geometry

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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