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

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Solution

An obtuse angle is an angle whose measure is more than $90^{\circ}$ but less than $180^{\circ}$ .

The sum of two right angles is equal to $180^{\circ}$ . So, it is not an obtuse angle.

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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

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. 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

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

Question 7 (d)

Fill in the blanks with acute, obtuse, right or straight:

When the sum of the measures of two angles is that of a right angle, then each one of them is ___

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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

An obtuse angle is an angle whose measure is more than 90∘ but less than 180∘. The sum of two right angles is equal to 180∘. So, it is not an obtuse angle.

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

An obtuse angle is an angle whose measure is more than $90^{\circ}$ but less than $180^{\circ}$ .

The sum of two right angles is equal to $180^{\circ}$ . So, it is not an obtuse angle.