Question

please help me to solve these questions

Answer 1

3) let angle AOC= 5x and angle COB= 4x

thus, angle AOD = 4x, angle DOB=5x (V.O.A)

angle AOC+ angle COB= 180 degrees

thus, 5x + 4x = 180

9x= 180

x= 180/9

20=x

{Thus, angle AOC= 5*20=100 = angle DOB

angle COB = 4*20 = 80 = angle AOD } ans.

Answer 2

Hola!!

Here's your answer :-

In the given figure
Let, angle AOC = 5x & angle BOC = 4x

So, ang. AOC+ BOC = 180° (☆ linear pair )
=> 5x + 4x = 180°
=> 9x = 180°
=> x = 180°/9
=> x = 20°

ang. AOC = 5x = 5 × 20° = 100°
ang. BOC = 4x = 4 × 20° = 80°
ang. BOD = 100° (☆Vertically opposite ang.)
ang. AOD = 80° (☆Vertically opposite ang.)

Hope it helps you