Q150 of 160 Page 144

In the given parallelogram YOUR, ∠RUO = 120° ad OY is extended to point S such that ∠SRY = 50°. Find ∠YSR.

Given, ∠RUO = 120 and ∠SRY = 50

⟹The opposite angles of a parallelogram are equal.

Hence, ∠RYO = 120

⟹In ∆YSR,

∠Y + ∠R + S = 180

(180-120) + 50 + ∠YSR = 180

110 + ∠YSR = 180

∠YSR = 70

148

In rhombus BEAM. Find AME and AEM.

149

In parallelogram FIST. Find SFT, OST and STO.

151

In kite WEAR, ∠WEA = 70° and ∠ARW = 80°. Find the remaining two angles.

152

A rectangular MORE, is shown below:

Answer the following questions by giving appropriate reason.

(i) Is RE = OM? (ii) Is MYO = RXE?

(iii) Is MOY = REX? (iv) Is ∆MYO = ∆RXE?

(v) Is MY = RX?