If the sum of two angles is equal to an obtuse angle, then which of the following is NOT possible?

One obtuse and one acute angle

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One right angle and one acute angle

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Two acute angles

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Two right angles

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Solution

The correct option is D Two right angles
Obtuse angles are those angles whose measure is more than $90 °$ but less than $180 °$ .

Since, sum of two right angles is $90 ° + 90 ° = 180 °$ .

Hence sum of two right angles can not be an obtuse angle.

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Similar questions

Question 12
If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?
a) One obtuse angle and one acute angle
b) One right angle and one acute angle
c) Two acute angles
d) Two right angles

Q. Which of the following is correct?
1. The sum of two acute angles is always an obtuse angle
2. The difference between an obtuse angle and a right angle is an acute angle
3. The sum of two acute angles can be acute, right or an obtuse angle

Question 11
If the sum of two angles is greater than $180^{\circ}$ , then which of the following is not possible for the two angles?
a) One obtuse angle and one acute angle
b) One reflex angle and one acute angle
c) Two obtuse angles
d) Two right angles

Q. If the sum of two equal angles is supplementary , then each angle will be a/ an _____.

Q. An triangle has one obtuse angle and two acute angles.

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If the sum of two angles is equal to an obtuse angle, then which of the following is NOT possible?

The correct option is D Two right anglesObtuse angles are those angles whose measure is more than90° but less than 180°.Since, sum of two right angles is 90°+90°=180°.Hence sum of two right angles can not be an obtuse angle.

The correct option is D Two right angles
Obtuse angles are those angles whose measure is more than $90 °$ but less than $180 °$ .

Since, sum of two right angles is $90 ° + 90 ° = 180 °$ .

Hence sum of two right angles can not be an obtuse angle.