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:

$\angle AOB = 53$

Step-by-step 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

$\frac{2x}{2} = \frac{26}{2}$

$x = \frac{26}{2}$

$x = 13$

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

$\angle AOB = 8 * 13 - 51$

$\angle AOB = 104- 51$

$\angle AOB = 53$