The difference between the measures of the two angles of a complementa

1.	The difference between the measures of the two angles of a complementary pair is 40°. Find the measures of the two angles.
Answer» Let the measure of one angle be x°. ∴Measure of other angle = (x + 40)° x + (x + 40) = 90 …(Since, the two angles are complementary) ∴ 2x + 40 – 40 = 90 – 40 ….(Subtracting 40 from both sides) ∴ 2x = 50 ∴ x = 50/2 ∴ x = 25 ∴ x + 40 = 25 + 40 = 65 ∴ The measures of the two angles is 25° and 65°.

The difference between the measures of the two angles of a complementary pair is 40°. Find the measures of the two angles.

Answer»

Let the measure of one angle be x°.

∴Measure of other angle = (x + 40)°

x + (x + 40) = 90 …(Since, the two angles are complementary)

∴ 2x + 40 – 40 = 90 – 40 ….(Subtracting 40 from both sides)

∴ 2x = 50

∴ x = 50/2

∴ x = 25

∴ x + 40 = 25 + 40

= 65

∴ The measures of the two angles is 25° and 65°.