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

70°

Step-by-step 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°

step-by-step explanation: