In the given parallelogram YOUR, ∠RUO = 120° and OY is extended to point S such that ∠SRY = 50°. Find ∠YSR.
Solution:
Given, YOUR is a parallelogram.
∠RUO = 120°
OY is extended to point S such that ∠SRY = 50°.
We have to find ∠YSR.
We know that opposite angles in a parallelogram are equal.
∠RUO = ∠RYO
So, ∠RYO = 120°
We know that the linear pair of angles are supplementary.
So, ∠RYS + ∠RYO = 180°
120° + ∠RYO = 180°
∠RYO = 180° - 120°
∠RYO = 60°
In triangle RSY,
By angle sum property of a triangle,
∠SRY + ∠RYS + ∠YSR = 180°
50° + 60° + ∠YSR = 180°
110° + ∠YSR = 180°
∠YSR = 180° - 110°
Therefore, ∠YSR = 70°
✦ Try This: In the given parallelogram YOUR, ∠RUO = 140° and OY is extended to point S such that ∠SRY = 70°. Find ∠YSR
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 150
In the given parallelogram YOUR, ∠RUO = 120° and OY is extended to point S such that ∠SRY = 50°. Find ∠YSR.
Summary:
In the given parallelogram YOUR, ∠RUO = 120° and OY is extended to point S such that ∠SRY = 50°. The value of ∠YSR is 70 degrees.
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