Q148 of 160 Page 144

In rhombus BEAM. Find AME and AEM.

In the rhombus,

∠BAM = 70⁰

Also, we know that the diagonals of a rhombus bisect at 90⁰

∴ ∠AOM = 90

Now, in ΔAOM,

∠AOM + ∠OMA + ∠MOA = 180⁰

⇒ 90 + ∠OMA + 70 = 180⁰

⇒ ∠AME = ∠OMA = 20⁰

Also,

The sides in the rhombus are equal.

Ans, we know, equal sides make equal angles.

⇒ ∠AEM = 20⁰

146

In parallelogram ABCD, find∠ B, ∠C and ∠D.

147

In parallelogram PQRS. O is the mid-point of SQ. Find ∠S, ∠R. PQ, Qr and diagonal PR.

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.