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

Question

asked May 18, 2021 174k views

1 Answer

Avin · Answer 1 · 2021-05-22T02:52:00+0000

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
$\angle AOB=8x-51$

$\angle AOB = 8 * 13 - 51$

$\angle AOB = 104- 51$

$\angle AOB = 53$