Question

if an angle of a parallelogram is 24 degree less than twice the smallest angle then the largest angle is

Answer 1

Let smallest angle be x

Largest angle = 2x-24

WKT

Sum of adjacent angles = 180 (in a parallelogram)

2x-24+x=180

3x=180+24

3x=204

X=204/3

x=68

Answer 2

In the ||gm ABCD

angle A+angle B = angle C+angle D = 180°

Let angle B = 2x - 24°

we have, x + 2x - 24 = 180°

=> 3x - 24 = 180°

=> 3x = 180° + 24°

=> 3x = 204°

=> x = 204/3

=> x = 68°