Question

Q.4 In the given parallelogram YOUR, angle RUO = 120 and OY is extended to point S such that angle SRY = 50, find angle YSR.​

Answer 1

Question

Q.4 In the given parallelogram YOUR, angle RUO = 120 and OY is extended to point S such that angle SRY = 50, find angle YSR.

Answer

YOUR is a parallelogram.

Using the property "Opposite angles of a parallelogram are equal."

We have

RUO = RYO= 120°

SYO = 180 which is a straight line.

SY0 = SYR + RYO

180° = SYR + 120°

From

∆SYR,RSY+RYS+YRS=180°

RSY + 60° + 50° = 180°

RSY =180 - 170

RSY = 70