In quadrilateral PQRS, Angle P Q R measures (7x - 2)o . Angle PSR measures (5x + 14 )o.

Circle T is inscribed with quadrilateral P Q R S.

What are the measure of angles PQR and PSR?

m Angle P Q R = 54o and m Angle P S R = 54o

m Angle P Q R = 84o and m Angle P S R = 96o

m Angle P Q R = 90o and m Angle P S R = 90o

m Angle P Q R = 96o and m Angle P S R = 84o

Fourth option is correct m Angle P Q R = 96 and m Angle P S R = 84

Therefore,

Step-by-step explanation:

Given:

In quadrilateral PQRS,

∠PQR = (7x - 2)°

∠PSR = (5x + 14)°

Circle T is inscribed with quadrilateral P Q R S.

To Find:

m∠PQR = ?

m∠PSR  = ?

Solution:

Circle T is inscribed with quadrilateral P Q R S.

Therefore,

Quadrilateral PQRS is a Cyclic Quadrilateral,

So for a Cyclic Quadrilateral, opposite Angles are Supplementary

∠PQR and ∠PSR are opposite angles

∴

Substituting the values we get

Substitute x in PQR and PSR we get

Therefore,

the square root of what number? if you add that, then someone will probably answer the question.