The given diagram, shows two adjacent angles AOB and AOC, whose exteri

1.	The given diagram, shows two adjacent angles AOB and AOC, whose exterior sides are along the same straight line. Find the value of x.
Answer» Since, the exterior arms of the adjacent angles are in a straight line ; the adjacent angles are supplementary ∴ ∠AOB + ∠AOC = 180° ⇒ 68° + 3x – 20° = 180° ⇒ 3x = 180° + 20° – 68° ⇒ 3x = 200° – 68° ⇒ 3x =132° x = (132/3) ° = 44°

The given diagram, shows two adjacent angles AOB and AOC, whose exterior sides are along the same straight line. Find the value of x.

Answer»

Since, the exterior arms of the adjacent angles are in a straight line ; the adjacent angles are supplementary

∴ ∠AOB + ∠AOC = 180°

⇒ 68° + 3x – 20° = 180°

⇒ 3x = 180° + 20° – 68°

⇒ 3x = 200° – 68° ⇒ 3x =132°

x = (132/3) ° = 44°