Question

In the circle below, angle a = 7x + 2 and angle b = 9x - 4. Find the value of x

Answer 1

angle a is equal to angle b.

7x +2 = 9x -4
Can you solve it from here?

Answer 2

yes do I subtract 2 from -4

Answer 3

or am I supposed to add it to the 4

Answer 4

it's easier to add 4 to both sides

Answer 5

ok so 7x=9x+6

Answer 6

six should be on the side of 7x.
so
7x +6 = 9x

Answer 7

7x + 2 = 9x - 4
2 + 4 = 9x - 7x
6 = 2x
3 = x

Answer 8

then from there

7x + 6 = 9x
-7x -7x
6= 2x
x= 2/6 or 1/3

Answer 9

The angles are congruent because they are inscribed angles of a circle and intercept the same arc. The measure of an inscribed angle is half its arc. In this case, both angles cut off the same arc so both of them are half of the same measure.
7x + 2 = 9x - 4
-2x = -6
x = 3