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Answer:
Step-by-step explanation:
m∠AOB+m∠BOC=180°
m∠AOB=8x+51°
m∠BOC=6x-25°
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[tex]\tt 8x+51+6x-25=180[/tex]
[tex]\tt 14x+26=180[/tex]
[tex]\tt 14x=180-26[/tex]
[tex]\tt \cfrac{14x}{14} =\cfrac{154}{14}[/tex]
[tex]\tt x=11[/tex]
m∠AOB:-
[tex]\tt 8(11)+51[/tex]
[tex]\tt =88+51[/tex]
[tex]\tt =139^{o}[/tex]
Therefore, m∠AOB=139°