An angle which is half of its supplement is of __________. Fill in the blanks to make the statement true

Solution:

Given, an angle which is half of its supplement is of __________.

We have to fill in the blanks to make the statement true.

Let the required angle be x.

Two angles are said to be supplementary angles if they add up to 180 degrees.

Supplement of angle x = 180° - x

According to the question,

x = 1/2 (180° - x)

x = 180°/2 - x/2

x = 90° - x/2

x + x/2 = 90°

x[(2+1)/2] = 90°

x(3/2) = 90°

x = 90°(2)/3

x = 30°(2)

x = 60°

Therefore, the required angle is 60°.

✦ Try This: An angle which is half of its complement is of __________. Fill in the blanks to make the statement true

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

NCERT Exemplar Class 7 Maths Chapter 5 Problem 56

An angle which is half of its supplement is of __________. Fill in the blanks to make the statement true

Summary:

An angle which is half of its supplement is 60°

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