Question

In the given figure angle QPS = angle SRQ. Find the value of: (a) x ,(b) angle PQS , (c) angle PSR​

Answer 1

Answer:

the answer of what is the task

Answer 2

Answer:

Correct option is B)

From the figure

In △PQS,

∠PQS+∠QPS+∠PSQ=180

∘

⟹∠PSQ=180

∘

−∠QPS−∠PQS=180

∘

−100

∘

−40

∘

=40

∘

Given ∠PSR=85

∘

⟹∠PSQ+∠QSR=85

∘

⟹∠QSR=85

∘

−∠PSQ=85

∘

−40

∘

=45

∘

In △QSR

∠QRS+∠PSQ+∠SQR=180

∘

∠SQR=180

∘

−∠QRS−∠QSR=180

∘

−70

∘

−45

∘

=65

∘

AS RT∥SQ

∠QRT=∠SQR=65

∘