NCERT Class 7 Mathematics Solutions: Chapter 5 –Linear and Angles Exercise 5.1 Part 2

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Triangle Angle Sum Theorem

Triangle Angle Sum Theorem

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1. Identify which of the following pairs of angles are complementary and which are supplementary:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Answer:

The sum of the measures of complementary angles is and that of supplementary angles .

(i)

Sum of the measures of these angles

These angles are supplementary angles.

(ii)

Sum of the measures of these angles

These angles are complementary angles.

(iii)

Sum of the measures of these angles

These angles are supplementary angles.

(iv)

Sum of the measures of these angles

These angles are supplementary angles.

(v)

Sum of the measures of these angles

These angles are complementary angles.

(vi)

Sum of the measures of these angles

These angles are complementary angles.

2. Find the angle which is equal to its complement.

Answer:

Consider the angle be .

Complement of this angle is also .

The sum of the measures of a complementary angle pair is .