Q156 of 160 Page 144

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.

EBF formed a isosceles triangle.

⟹Hence, ∠EBF = ∠EFB = 45

⟹According to question,

∠EBF + ∠x = 180

∠x = 180-45 = 135

⟹And ∠EFB + y = 90

∠y = 90-45 = 45

154

In trapezium HARE. EP and RP are bisectors of E and R respectively. find ∠HAR and ∠EHA.

155

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

157

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

158

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