Q95 of 113 Page 128

Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.

Let one angle be x other angle x + 2⁰

Since the two angles are complementary their sum is 90⁰

x + x + 2 = 90⁰

⇒ 2x = 88⁰

⇒ x = 44⁰

The two angles are 44⁰ and 46⁰

In Fig. 5.50, OB is perpendicular to OA and ∠BOC = 49°. Find ∠AOD.

Three lines AB, CD and EF intersect each other at O. If ∠AOE = 30° and ∠DOB = 40° (Fig. 5.51), find ∠COF.

If a transversal intersects two parallel lines, and the difference of two interior angles on the same side of a transversal is 20°, find the angles.

Two angles are making a linear pair. If one of them is one-third of the other, find the angles.