Question

Find the measure of the all angles of parallelogram,if one angle is 24 degrees, less than the smallest angles ​

Answer 1

Answer:

Let the smallest angle be of x

∘

.

Then, the other angle is of (2x−24)

∘

.

Since adjacent angles of a parallelogram are supplementary.

∴x

∘

+(2x−24)

∘

=180

∘

⇒x=68

∘

(2x−24)

∘

=2(68)−24=112

∘

The measure of all the angles of a parallelogram are

68

∘

,112

∘

,68

∘

,112

∘

Answer 2

Step-by-step explanation:

let smallest be x

other will be x-24

x+x+x-24+x-24=360

4x-48=360

4x=408

x=102

angles will be 102 and 78