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Maths-

General

Easy

Question

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

hint 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
$10 over 2$ < x < $100 over 2$
5 < x < 50

Final Answer:

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

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