Q14 of 153 Page 166

In the given figure, AB || CD and EF ⊥ AB. If EG is the transversal such that ∠GED = 130°, find ∠EGF.

GEC = 180 – 130 = 50^O (linear pair of angles)

According to question,

AB || CD and EF is perpendicular to AB.

GEC = EGF (pair of alternate interior angles)

= 50^O

In the given figure, BE ⊥ AC, ∠DAC = 30° and ∠DBE = 40°. Find ∠ACB and ∠ADB.

In the given figure, AB || CD and EF is a transversal, cutting them at G and H respectively. If ∠EGB = 35° and QP ⊥ EF, find the measure of ∠PQH.

Match the following columns:

Column I	Column II
(a) An angle is 10° more than its complement. The measure of the angle is….	(p) 160°
(b) In ΔABC, ∠A = 65° and ∠B – ∠C = 25°, then ∠B = …	(q) 50°
(c) In ΔABC, ∠A = 40° and ∠B = ∠C? If EF \|\| BC, then ∠EFC = …	(r) 70°
(d) If the angles around a point are 2x°, 3x°, 5x° and 40° then the measure of largest angle is……….	(s) 110°

The correct answer is:

A. – …….., B. – ……….,

C. – ………, D. – ……….,

In the given figure, lines AB and CD intersect at O such that ∠AOD + ∠BOD + ∠BOC = 300°. Find ∠AOD.