Question

In the given figure, angle AOB is a straight line.Find angle AOC angle BOD​

Answer 1

Step-by-step explanation:

Given: AOB is a straight line...

∠COD = 65°

∠DOB = (2x-20)°

To find: 1) ∠AOC

2) ∠DOB

Solution: Let ∠AOC =x°

As AOB is a straight line ...

∴ ∠AOC+∠COD+∠DOB=180°

x+65+2x-20=180 ( from given)

3x+45=180

3x=135

x=45

∠AOC=x=45°

∠DOB=2x-20

=2(45)-20

=90-20

∠DOB=70°

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