Both angles of a pair of supplementary angles can never be acute angles. State whether the statement is true or false

Solution:

Given, both angles of a pair of supplementary angles can never be acute angles.

We have to determine if the given statement is true or false.

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

Consider two supplementary angles 110° and 70°

Sum of angles = 110° + 70°

= 180°

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

We observe that 110° is greater than 90°

So, both angles of a pair of supplementary angles can never be acute angles.

Therefore, the given statement is true.

✦ Try This: Both angles of a pair of complementary angles can be obtuse angles. State whether the statement is true or false

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

NCERT Exemplar Class 7 Maths Chapter 5 Problem 62

Both angles of a pair of supplementary angles can never be acute angles. State whether the statement is true or false

Summary:

The given statement,”both angles of a pair of supplementary angles can never be acute angles” is true

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