Question

In the given parallelogram your angle YOUR,RUO is 120 degree and a OY is extended to the point as such that angle S R Y is equal to 50 degree find angle YSR

Answer 1

Angle Y = 120°
In triangle SRY, Angle Y = 120°
As we know in a triangle sum of all angles are equal to 180°.
Angle R = 50°
Angle Y = 120°
Angle S = 180- (50+120)
180-170
10°
Angle YSR = 10°
(Because 120+50+10 = 180)

Answer 2

70°

Explanation:

Given,

YOUR is a parallelogram,

In which ∠RUO = 120°,

∠SRY = 50°,

To find : ∠YSR

Since, the opposite angles of a parallelogram are equal.

⇒ ∠RUO = ∠RYO

⇒ ∠RYO = 120°,

Also, ∠RYO and ∠RYS are linear pairs,

⇒ ∠RYO + ∠RYS = 180°,

⇒ 120° + ∠RYS = 180°,

⇒ ∠RYS = 60°,

Now, In triangle RSY,

∠YSR + ∠RYS + ∠SRY = 180°,

∠YSR + 60° + 50° = 180°

∠YSR = 180° - 110° = 70°