# In the given figure, AOB is a straight line. If ∠AOC (3x + 10)° and ∠BOC = (4x – 26)°, then ∠BOC = ?A. 96°B. 86°C. 76°D. 106°

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°

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