Can two acute angles form a pair of supplementary angles? Give reason in support of your answer

Solution:

Given, two acute angles

We have to determine if two acute angles can form a pair of supplementary angles.

Consider two angles x and y,

When the sum of the measures of two angles is 180°, the angles are called supplementary angles.

So, x + y = 180°

An acute angle is a type of angle that measures less than 90° i.e. measure between 0° to 90°.

Let x be 80° and y be 85°

Now, x + y = 80° + 85°

= 165° ≠ 180°

This implies the sum of two acute angles is always less than 180 degrees.

Therefore, two acute angles cannot form supplementary angles.

✦ Try This: Can two acute angles form a pair of complementary angles? Give reason in support of your answer

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 85

Can two acute angles form a pair of supplementary angles? Give reason in support of your answer

Summary:

Two acute angles cannot form a pair of supplementary angles.

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