Question

If an angle of a parallelogram is two-thirds its
adjacent angle, what will be the smallest angle
of the parallelogram?​

Answer 1

$\huge\tt\underline{answer}$

let the adjacent angles be x then ,

other angle = (2/3)x

we know opposite angles of parallelogram are equal .

=> and sum of all angles of a quadrilateral is 360°therefore ,

we get ,

=> x+x+2x/3+2x/3 = 360°

=> 2x+4x/3 = 360°=> (6x+4x)/3 = 360° (making denominator equal)

=> 10x/3 = 360°

=> x = 360×3/10

=> x = 36×3 = 108°

therefore , other angle = (2/3)x

=> (2/3)×108°

=> (2/3)×108°

=> 2×36 => 72°

$\huge\tt\red{hope \: it \: helps \: you}$

Answer 2

Answer:

72 degrees

Step-by-step explanation:

Let one be x

Other adjacent angle is 2x/3

So x + 2x/3 = 180 (Adjacent angle sum)

With 3 as LCM

3x+2x=5x

So 5x/3 = 180

So 5x = 180 × 3

So x = (180×3)/5

x = 108

Other angle = 180-108

= 72