Question

C

Answer 1

Answer:

• m∠AOB=139°

Step-by-step explanation:

m∠AOB+m∠BOC=180°

m∠AOB=8x+51°

m∠BOC=6x-25°

~

$\tt 8x+51+6x-25=180$

$\tt 14x+26=180$

$\tt 14x=180-26$

$\tt \cfrac{14x}{14} =\cfrac{154}{14}$

$\tt x=11$

m∠AOB:-

$\tt 8(11)+51$

$\tt =88+51$

$\tt =139^{o}$

Therefore, m∠AOB=139°