Lines & Angles

Exercise 5.1

Question 1: Find the complement of each of the following angles.

angle examples

Answer: : (a) 57° (b) 38°

angle examples

Answer: (c) 69° (d) 15°


angle examples

Answer: (e) 45° (f) 36°

Question 2: Find the supplement of each of the following angles.

angle examples

Answer: (a) 126.3° (b) 64.8° (c) 68.9° (d) 101.8° (e) 39.3° (f) 136.5°


Question 3: Find the pairs of complementary and supplementary angles from these pairs of angles.

  1. 25°, 65°

    Answer: complementary
  2. 32°, 58°

    Answer: complementary
  3. 109°, 71°

    Answer: Supplementary
  4. 78°, 12°

    Answer: complementary
  5. 42°, 48°

    Answer: complementary
  6. 112°, 68°

    Answer: Supplementary
  7. 128°, 52°

    Answer: Supplementary
  8. 98°, 82°

    Answer: Supplementary

Question 4: Find the values of x and y in following figures:

angle examples angle examples

Answer: (a) x = y = 60° (b) x = 81°, y = 21° (c) x = 86°, y = 69° (d) x = 33°, y = 41°

Question 5: Find the value of x in following figure:

angle examples

Answer: 30°

Question 6: Find the value of x in the following figure.

angle examples

Answer: 40°

Question 7: Find the value of y in the following figure.

angle examples

Answer: 30°



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