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

Solution:

Given, one obtuse angle and one acute angle can make a pair of supplementary 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 = 120° 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 = 120° + 60°

= 180°

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

We observe that the sum of an acute angle and an obtuse angle is 180 degrees.

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

Therefore, the given statement is true.

✦ Try This: One right 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 61

One obtuse angle and one acute angle can make a pair of supplementary 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 supplementary angles” is true

☛ Related Questions:

• Both angles of a pair of supplementary angles can never be acute angles. State whether the statement . . . .
• Two supplementary angles always form a linear pair. State whether the statement is true or false
• Two angles making a linear pair are always supplementary. State whether the statement is true or fal . . . .