In the given figure, AOB is a straight line. If ∠AOC (3x + 10)° and ∠BOC = (4x – 26)°, then ∠BOC = ?
As we know that sum of adjacent angle on a straight line is 180o.
According to question,
∠ AOC = (3x + 10)°
∠ BOC = (4x – 26)°
3x + 10 + 4x – 26 = 180o
7x – 16 =180o
7x =196o
X= 28o
∠ BOC = (4x – 26)°
∠ BOC = 112° – 26°
∠ BOC = 86°