Question

I don't get this I need help

Answer 1

I don’t get this either

Answer 2

Any quadrilateral which can be inscribed in a circle, is called a cyclic quadrilateral.


The main theorem about these quadrilaterals is the following:

In any cyclic quadrilateral, the sum of the measures of the opposite angles is 180°.

This means, m(∠S)+m(∠Q) =180°, 

thus 

(7x-2)+(5x+14)=180

12x+12=180

12x=168

x=168/12=14

Thus the measures of angles Q and S are respectively:

7x-2 = 7*14-2=96 (degrees) and 

5x+14=5*14+14=6*14=84 (degrees)

Answer: D