Q157 of 160 Page 144

In the following figure of a ship. ABDH and CEFG are two parallelograms. Find the value of x.

⟹In llgm ABDH,

∠D = ∠BAH = 180-130(adjacent angles)

⟹In llgm CEFG,

∠C = ∠GCE = ∠GFE = 30(opposite angles)

⟹Hence, in ∆CDX,

∠C + ∠D + ∠x = 180

30 + 130 + ∠x = 180

∠x = 180-160 = 20

155

In parallelogram MODE, the bisector of ∠M and O meet at Q. Find the measure of ∠MQO.

156

A playground is in the form of a rectangular ATEF, two players are standing at the points of F and B where EF = EB. Find the values of x and y.

158

A rangoli has been drawn on a floor of house. ABCD and PQRS both are in the shape of a rhombus ABCD.

159

ABCDE is a regular pentagon. The bisector of angle A meets the side CD at M. Find AMC