Question

If angle AOB = 4x-2, Angle COD = 2x+14, & BOC = 5x+10. Find x, Angle AOC and Angle AOD.

Answer 1

diagram?

Answer 2

AOB and COD are congruent

Answer 3

If they are congruent, then set them equal to each other, and solve for x.

Answer 4

4x-2 = 2x+14?

Answer 5

If they are congruent, then, yes.

Answer 6

It looks like that

Answer 7

Yes, they are congruent...the arcs are marked off, which means they are equal in measure. So solve for x.

Answer 8

I got x = 16, now what do I do?

Answer 9

Substitute x = 16 into each of the 3 angles you have ....then you'll have everything you need.

Answer 10

Ohhh so for example BOC - 5x+10, so I put 16 where the x is the the 5x+10 and multiply

Answer 11

90

Answer 12

do I add or subtact the 10?

Answer 13

because BOC does not look like 90 it looks smaller