Advertisements
Advertisements
प्रश्न
In the given parallelogram YOUR, ∠RUO = 120° and OY is extended to point S such that ∠SRY = 50°. Find ∠YSR.
Advertisements
उत्तर
Given, ∠RUO = 120° and ∠SRY = 50°
∠RYO = ∠RUO = 120° ...[∵ Opposite angles of a parallelogram]
Now, ∠SYR = 180° – ∠RYO ...[Linear pair]
= 180° – 120°
= 60°
In ΔSRY,
By the angle sum property of a triangle,
∠SRY + ∠RYS + ∠YSR = 180°
⇒ 50° + 60° + ∠YSR = 180°
⇒ ∠YSR = 180° – (50° + 60°)
⇒ ∠YSR = 180° – 110°
∴ ∠YSR = 70°
APPEARS IN
संबंधित प्रश्न
In the following figure, ABCD and PQRS are two parallelograms such that ∠D = 120° and ∠Q = 70°.
Find the value of x.
In the given figure, AP is the bisector of ∠A and CQ is the bisector of ∠C of parallelogram ABCD. 
Prove that APCQ is a parallelogram.
In the following figure, ABCD is a parallelogram. 
Prove that:
(i) AP bisects angle A.
(ii) BP bisects angle B
(iii) ∠DAP + ∠BCP = ∠APB
In the following figures, find the remaining angles of the parallelogram
In the following figures, find the remaining angles of the parallelogram
In the following figures, find the remaining angles of the parallelogram
Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD.
The sum of adjacent angles of a parallelogram is ______.
In parallelogram FIST, find ∠SFT, ∠OST and ∠STO.
