Question

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

Answer 1

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°.