Question

given a:b=2:3
find c

Answer 1

Hello!!!


Let the angles of angle a and b be 2x and 3x.


2x+3x=180 (Linear pair)

5x=180

x=36

So, angle a=2x=72
& angle b=3x=108

Since angle b + angle c=180 (Linear pair)

108 + angle c= 180

angle c =180-108

angle c= 72



OR



We can directly say that Angle a = Angle c= 72 (Vertically Opposite Angle).




Hope it helps

Answer 2

given a : b = 2: 3

let the constant ratio be ' x '

now Angels a, b = 2x , 3x

2x+ 3x = 180°


5x= 180°


x = 36°

now , angle a = 2x = 2×36 = 72 °


angle b = 3x = 3× 36 = 108°


angle c = 180 - angle b



angle c = 180 - 108° = 72°
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Your Answer : 72°
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