Question

In the given figure,QP || RS, angle P = 65 degree,angle R=45 degree, then find angle SRT.
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Answer 1

Answer:

It is 80 degree Hope it helps please mark me as brainliest

Answer 2

• ∠SRT is of 70°.

Step-by-step explanation:

To find:-

• ∠SRT.

Solution:-

We know,

Sum of all interior angles of triangle is 180°.

➞ ∠Q + ∠P + ∠PRQ = 180°

➞ ∠Q + 65° + 45° = 180°

➞ ∠Q + 110° = 180°

➞ ∠Q = 180° - 110°

➞ ∠Q = 70°

∠SRT = ∠PRS + ∠PRQ

We know that,

Sum of co-interior angle is 180°.

So,

➞ ∠Q + ∠SRT = 180°

➞ ∠Q + ∠PRS + ∠PRQ = 180°

➞ 70° + 45° + ∠PRS = 180°

➞ 115° + ∠PRS = 180°

➞ ∠PRS = 180° - 115°

➞ ∠PRS = 65°

We also know that,

Sum of any two interior angles of triangle is equal to the one opposite angle.

➞ ∠PRT = ∠P + ∠Q

➞ ∠PRT = 65° + 70°

➞ ∠PRT = 135°

➞ ∠PRS + ∠SRT = ∠PRT

➞ 65° + ∠SRT = 135°

➞ ∠SRT = 135° - 65°

➞ ∠SRT = 70°

Therefore,

∠SRT is of 70°.