The measures of some angles are given below. Write the measures of the

1.	The measures of some angles are given below. Write the measures of their complementary angles.i. 40° ii. 63°iii. 45° iv. 55°
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°.

The measures of some angles are given below. Write the measures of their complementary angles.i. 40° ii. 63°iii. 45° iv. 55°

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°.