Question

plz tell the answer with step by step explanation plzz don't write unnecessary things​

Answer 1

Answer:

Actually,None of the options are correct.

The correct answer is 250°.

Explanation:

Given in image.

Answer 2

Answer:

b) 110 degrees

Step-by-step explanation:

From the inscribed angle theorem we know that $\angle POR =2\times \angle PQR$,

We also know that the sum of the interior angles must be 360 degrees as the shape has 4 sides.

Then we have that  the angle $\angle ROP$ on the inside of the shape is $\angle ROP = 360-\angle POR = 360-2\times \angle PQR$.

As the sum of the internal angles must be 360, we have that

$360^\circ = 360^\circ - 2\times \angle PQR +15^\circ + 40^\circ + \angle PQR$

which gives

$0 = -\angle PQR + 55^\circ$,

which is the same as

$\angle PQR = 55^\circ$.

Finally, we have that

$\angle POR = 2\times \angle PQR = 2\times 55^\circ=110^\circ$.