One obtuse angle and one acute angle can make a pair of complementary angles. State whether the statement is true or false

Solution:

Given, one obtuse angle and one acute angle can make a pair of complementary angles.

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

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

Consider an obtuse angle x = 100° degrees.

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

Consider an acute angle y = 60° degrees.

Sum of x and y = 100° + 60°

= 160°

When the sum of measures of two angles is 90 degrees, then the angles are called complementary angles.

We observe that 160° is greater than 90°.

One obtuse angle and one acute angle cannot make a pair of complementary angles.

Therefore, the given statement is false.

✦ Try This: One obtuse angle and one acute angle can make a pair of supplementary 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 58

One obtuse angle and one acute angle can make a pair of complementary angles. State whether the statement is true or false

Summary:

The given statement,”One obtuse angle and one acute angle can make a pair of complementary angles” is false

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