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 following figures, find the remaining angles of the parallelogram
In the following figures, find the remaining angles of the parallelogram
In a parallelogram ABCD ∠C = 98°. Find ∠A and ∠B.
The consecutive angles of a parallelogram are in the ratio 3:6. Calculate the measures of all the angles of the parallelogram.
Find the measures of all the angles of the parallelogram shown in the figure:
In the given figure, ABCD is a parallelogram, find the values of x and y.
The angles of a triangle formed by 2 adjacent sides and a diagonal of a parallelogram are in the ratio 1 : 5 : 3. Calculate the measures of all the angles of the parallelogram.
Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD.
If PQRS is a parallelogram, then ∠P – ∠R is equal to ______.
