Two supplementary angles are always obtuse angles. State whether the statement is true or false

Solution:

Given, two supplementary angles are always obtuse 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 x = 50 degrees and y = 130 degrees.

Sum of x and y = 50° + 130°

= 180°

An obtuse angle is defined as an angle that is greater than 90° and less than 180° i.e 90° to 180°.

Out of two supplementary angles, x is less than 90 degrees and y is greater than 90 degrees and less than 180 degrees.

So, two supplementary angles are not always obtuse angles.

Therefore, the given statement is false.

✦ Try This: Two complementary angles are always acute 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 59

Two supplementary angles are always obtuse angles. State whether the statement is true or false

Summary:

The given statement,”Two supplementary angles are always obtuse angles” is false

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