Q151 of 160 Page 144

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

In ∆ARW,

∠R + ∠A + ∠W = 180

⟹Let ∠A = ∠W = x

80 + 2x = 180

2x = 180-80

x = 50

⟹In ∆WEA,

∠W + ∠E + ∠A = 180

⟹Let ∠W = ∠A = y

2y + 70 = 180

2y + 180-70

y = 55

⟹Hence, ∠RWE = ∠RAE = (x + y)

= (50 + 55)

= 105

149

In parallelogram FIST. Find SFT, OST and STO.

150

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

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?

153

In parallelogram LOST, SN Ol and SM LT. Find STM, SON and NSM.