Q98 of 113 Page 128

Measures (in degrees) of two supplementary angles are consecutive odd integers. Find the angles.

Let one angle be x other angle x + 2

Since the two angles are supplementary their sum is 180⁰

x + x + 2 = 180⁰

⇒ 2x = 178⁰

⇒ x = 89⁰

The two angles are 89⁰ and 91⁰

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.

In Fig. 5.52, AE || GF || BD, AB || CG || DF and ∠CHE = 120°. Find ∠ABC and ∠CDE.

100

In Fig. 5.53, find the value of ∠BOC, if points A, O and B are collinear.