Question

m∠BOC=6x−25 ∘ m, angle, B, O, C, equals, 6, x, minus, 25, degrees Find m\angle AOBm∠AOBm, angle, A, O, B:

Answer 1

Question:

`\angle AOB=8x-51`

`\angle BOC=6x-25`

Find
`\angle AOB`

Answer:

`\angle AOB = 53`

Explanation:

Assume the given angles are congruent.

The solution is as follows;

`\angle AOB = \angle BOC`

Substitute values for AOB and BOC.

`8x - 51= 6x - 25`

Collect Like Terms

`8x - 6x =51 - 25`

`2x =26`

Divide through by 2

`(2x)/(2) = (26)/(2)`

`x = (26)/(2)`

`x = 13`

Substitute 13 for x in
`\angle AOB=8x-51`

`\angle AOB = 8 * 13 - 51`

`\angle AOB = 104- 51`

`\angle AOB = 53`