Question

In the figure three straight lines AB, CD and EF intersect at O. Find the value if y What is the measure of AOC​

Answer 1

Answer:

Y = 15°

Angle AOC = 105°

Step-by-step explanation:

Angle COE = Angle FOD (Vertically opposite Angles)

Angle AOF + Angle FOD + Angle DOB = 180° (Linear Pair) - eq.1

From above eqaution we get

Y = 15°

Angle FOD = Angle AOC (Vertically Opposite Angles)

Angle COD + Angle COE = Angle AOE

Therefore, Angle AOE = 7Y

= 7*15°

Angle AOE = 105°