Question

चित्र (१०.२७) में, यदि∆ aoc+∆bod=284 तो सभी चारकोण ज्ञात कीजिए​

Answer 1

• Angle AOC and Angle BOD are vertically opposite angles so their value will be equal to each other.

Given;

Angle AOC + Angle BOD = 284.

2 × ( angle AOC) =284

( as AOC and BOD are equal )

Angle AOC = 284/2

=> Angle AOC = Angle BOD = 142.

• sum of all the angles in a straight line is equal to 180.

Angle AOC and Angle BOC lie on same straight line AB , their values will add up to 180.

We know the value of Angle AOC= 142.

Angle AOC + Angle BOC = 180

Angle BOC = 180-(Angle AOC).

Angle BOC = 38.

Angle AOD = 38.( Angle AOD and Angle BOC are vertically opposite angles so their value will be equal to each other)