Maths-

General

Easy

Question

# Find the possible values of x for which the angle (2𝑥 − 10) ° will be an acute angle.

Hint:

- Angles whose measure is more than 0 but less than 90 are called ‘acute angles’.
- Angles whose measure is more than 90 but less than 180 are called ‘obtuse angles’.
- Angles whose measure 90 are called ‘right angles’.

## The correct answer is: 50

- Step-by-step explanation:
- Step 1:

As we know, angles whose measure less than 90^{o} are acute angles.

∴ for (2x - 10)^{o} to acute angle

0 < 2x - 10 < 90

0 + 10 < 2x < 90 + 10

10 < 2x < 100

< x <

5 < x < 50

- Final Answer:

Hence, for all numbers more than 5 and less than 50 (2x -10) will be acute angles.

- Step 1:

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