Question

The measures of some angles are given below. Use them to make pairs of complementary and supplementary angles.

m∠B = 60^°, m∠N = 30^°, m∠Y = 90^°, m∠J = 150^°,

m∠D = 75^°, m∠E = 0^°, m∠F = 15^°, m∠G = 120^°

Answer 1

If the sum of the measures of two angles is 90°, they are known as complementary angles.

(i) m∠B + m∠N

= 60^° + 30^°

= 90^°

∴ ∠B and ∠N are complementary angles.

(ii) m∠Y + m∠E

= 90^° + 0^°

= 90^°

∴ ∠Y and ∠E are complementary angles.

(iii) m∠D + m∠F

= 75^° + 15^°

= 90^°

∴ ∠D and ∠F are complementary angles.

If the sum of the measures of two angles is 180°, they are known as supplementary angles.

(iv) m∠B + m∠G

= 60^° + 120^°

= 180^°

∴ ∠B and ∠G are supplementary angles.

(v) m∠N + m∠J

= 30^° + 150^°

= 180^°

∴ ∠N and ∠J are supplementary angles.