Question

In the given fig, lines AB and CD intersect at O. Find ∠COT = 60o, find a, b, c.

Answer 1

Answer:

a=96°, b=24°, c=42°

Step-by-step explanation:

<AOC+<COT+<TOB=180° (linear pair)

4b+60+b=180°

5b+60=180°

5b=180-60°

5b=120°

b=120/5=24°

<AOC+<AOD=180°

4b+2c=180°

4*24+2c=180°

96+2c=180°

2c=180-96

2c=84°

c=84/2=42°

<AOD+<BOD=180°

2c+a=180°

2*42+a=180°

84+a=180°

a=180-84°

a=96°

I hope my answer helps you ☺☺

Answer 2

Answer:

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