Question

Please help MEDAL REWARDED AND FANNED

(picture coming soon)

Answer 1

and walk me through it please

Answer 2

Angles in a quadrilateral have to sum to 360. You know 3 of them: 90, 90, 158, x

Answer 3

where did you get 90 and 90

Answer 4

Because those lines are tangent...that's why we know it's 90 at those 2 points.

Answer 5

by definition a tangent forms a 90 degree angle with a radius drawn to the point where it is tangent

Answer 6

Alright, can you hold on I need to go get paper so I can take notes and plug in my computer you can leave and ill call you back if need be

Answer 7

@BangkokGarrett so to get the answer you add together 90+90+158=338 than minuse 338 from 360?

Answer 8

That's right.

Answer 9

http://www.mathwarehouse.com/geometry/circle/images/power-of-point/far-arc-near-arc-formula-picture-small.png

Answer 10

Here's a suggested alternative approach: Draw a horizontal line through angle x also passing through the center of the circle. This will create two right angles. Since the measure of angle O is 158 degrees, the corresponding half angle in each of the two triangles is 158/2 degrees, or 79 degrees.

So now either triangle has one angle = to 90 deg., one angle equal to 79 deg., and one angle equal to x/2.

Find x/2 using the Pyth. Thm. Then find x.