When the sum of the measures of two angles is that of a right angle, then each one of them is ______.a)obtuse angleb)acute anglec)straight angled)right angleCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Because right angle is bigger from only acute angle so we have to add two acute angle so we can get right angle

Answer

Bb

Answer

If anyone angle is not acute then the sum is not = right angle so both the angles must acute .

Answer

Acute angle

Answer

Explanation:
When the sum of the measures of two angles is equal to the measure of a right angle, it means that the two angles together form a right angle. A right angle measures 90 degrees. Therefore, the sum of the measures of the two angles is 90 degrees.

To find out what type of angles each of the two angles are, we need to consider the options given.

- Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. Since the sum of the two angles is 90 degrees, it is not possible for either of the angles to be obtuse angles.

- Acute angle: An acute angle is an angle that measures less than 90 degrees. Since the sum of the two angles is 90 degrees, it is possible for one or both of the angles to be acute angles.

- Straight angle: A straight angle is an angle that measures exactly 180 degrees. Since the sum of the two angles is 90 degrees, it is not possible for either of the angles to be a straight angle.

- Right angle: A right angle is an angle that measures exactly 90 degrees. Since the sum of the two angles is 90 degrees, it is not possible for either of the angles to be a right angle.

Therefore, the only possibility is that each one of the angles is an acute angle.

Answer

Acute angle

Answer

Because there is only one angle smaller than right angle which is acute angle

Answer

Explanation:
When the sum of the measures of two angles is that of a right angle, it means that the two angles add up to 90 degrees. In this case, each of the angles is referred to as an acute angle.

Definition of acute angle:
An acute angle is an angle that measures less than 90 degrees. In other words, it is an angle that is smaller than a right angle.

Understanding the sum of the measures of two angles:
When we say that the sum of the measures of two angles is that of a right angle, we mean that the two angles together form a right angle. A right angle measures exactly 90 degrees.

Reasoning:
Since the sum of the measures of two angles is 90 degrees, and a right angle measures 90 degrees, it implies that the two angles are acute angles. This is because an acute angle is smaller than a right angle, and when two acute angles are added together, their sum will be less than 90 degrees.

Example:
Let's consider two angles, Angle A and Angle B, whose measures add up to 90 degrees. If Angle A measures 30 degrees, then Angle B would measure 60 degrees. Both Angle A and Angle B are acute angles because they are smaller than a right angle.
Similarly, if Angle A measures 45 degrees, then Angle B would measure 45 degrees as well. Again, both angles are acute angles because they are smaller than a right angle.

Conclusion:
When the sum of the measures of two angles is that of a right angle (90 degrees), each one of them is an acute angle. Therefore, option B, which states 'acute angle,' is the correct answer.

Similar Class 6 Doubts

When the sum of the measures of two angles is that of a straight angle and if one of them is acute then the other should be _______.

An angle whose measure is the sum of the measures of two right angles is _____.

An angle whose measure is equal to one-fourth of a revolution is

An angle whose measure is greater than that of a right angle is ______.

179is an example of which of these angles?

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