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Class 7Mathematics & Statistics2026-27 Syllabus

Chapter 4 Angles and Pairs of Angles Practice Set 16 Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 4 Angles and Pairs of Angles Practice Set 16. Step-by-step solved exercises, numerical problems, and digest answers.

3 Solved Questions566 words

Angles and Pairs of Angles Class 7 Practice Set 16 Answers Solutions Chapter 4

Question 1 Maharashtra Board Solution
The measures of some angles are given below. Write the measures of their complementary angles. i. 40° ii. 63° iii. 45° iv. 55° v. 20° vi. 90° vii. x°
Solution & Step-by-Step Answer:
i. Let the measure of the complementary angle be x°. ∴ 40 + x = 90 ∴ 40 + x – 40 = 90 – 40 ….(Subtracting 40 from both sides) ∴ x = 50 ∴ The measure of the complement of an angle of measure 40° is 50°.

ii. Let the measure of the complementary angle be x°.
∴ 63 + x = 90
∴ 63+x-63 = 90-63
….(Subtracting 63 from both sides)
∴ x = 27
∴ The measure of the complement of an angle of measure 63° is 27°.

iii. Let the measure of the complementary angle be x°.
∴ 45 + x = 90
∴ 45+x-45 = 90-45
….(Subtracting 45 from both sides)
∴ x = 45
∴ The measure of the complement of an angle of measure 45° is 45°.

iv. Let the measure of the complementary angle be x°.
∴ 55 + x = 90
∴ 55 + x-55 = 90-55
….(Subtracting 55 from both sides)
∴ x = 35
∴ The measure of the complement of an angle of measure 55° is 35°.

v. Let the measure of the complementary angle be x°.
∴ 20 + x = 90
∴ 20 + x – 20 = 90 – 20
….(Subtracting 20 from both sides)
∴ x = 70
∴ The measure of the complement of an angle of measure 20° is 70°.

vi. Let the measure of the complementary angle be x°.
∴ 90 + x = 90
∴ 90 + x – 90 = 90 – 90
….(Subtracting 90 from both sides)
∴ x = 0
∴ The measure of the complement of an angle of measure 90° is 0°.

vii. Let the measure of the complementary angle be a°.
∴ x + a = 90
∴ x + a – x = 90 – x
….(Subtracting x from both sides)
∴ a = (90 – x)
∴ The measure of the complement of an angle of measure x° is (90 – x)°.

Question 2 Maharashtra Board Solution
(y – 20)° and (y + 30)° are the measures of complementary angles. Find the measure of each angle.
Solution & Step-by-Step Answer:
(y – 20)° and (y + 30)° are the measures of complementary angles. ∴ (y – 20) + (y + 30) = 90 ∴ y + y + 30 – 20 = 90 ∴ 2y+10 = 90 ∴ 2y = 90 – 10 ∴ 2y = 80 ∴ = 40 Measure of first angle = (y – 20)° = (40 – 20)° = 20° Measure of second angle = (y + 30)° = (40 + 30)° = 70° ∴ The measure of the two angles is 20° and 70°.

Maharashtra Board Class 7 Maths Chapter 4 Angles and Pairs of Angles Practice Set 16 Intext Questions and Activities

Question 1 Maharashtra Board Solution
Observe the angles in the figure and enter the proper number in the empty place. (Textbook pg. no. 26)

Solution & Step-by-Step Answer:

Note: Here, the sum of the measures of ∠ABC and ∠PQR is 90 °. Therefore, they are complementary angles.