Question

What is the value of x in the figure?

Answer 1

90 degrees

Answer 2

i think so...

Answer 3

@jim_thompson5910 is tht right??

Answer 4

Let \(y\) be the angle in the center.
\[
y+30^\circ+30^\circ =180^\circ
\]

Answer 5

I have heard that a radius is perpendicular to a tangent at the point of tangency.

Answer 6

\[
x+y/2 +30^\circ = 180^\circ
\]

Answer 7

@Mertsj thts why i said it was 90 degrees is tht right??

Answer 8

So yes, x = 90

Answer 9

Thxs @Mertsj

Answer 10

Yes, you are correct.

Answer 11

yw

Answer 12

;D

Answer 13

the angles in the larger triangle must add to 180, so

30+30+y = 180

60+y = 180

y = 180-60

y = 120

This means that the central angle is 120

Cut this in half to get 60

Each smaller triangle has angles of x, 60, 30

So

x+60+30 = 180

x + 90 = 180

x = 180 - 90

x = 90

confirming your answer

Answer 14

Thxs:D @jim_thompson5910

Answer 15

yw