Find the value of x.

x = 18°

Step-by-step explanation:

The sum of interior angles of any polygon is given by:

180(n -2) , where n is the number of sides of that polygon.

So for this pentagon;

The sum of its interior angles = 540°

∴

90 + (9x -6) + (3x + 23) + 95 + (7x - 4) = 540

19x + 198 = 540

19x = 540 - 198 = 342

x = 342 ÷ 19 = 18°

it's both, now can you answer my most recent question?

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.