Question

An angel of a parallelogram is 20° less than its abject angel. Find the measure of the remaining angles. ​

Answer 1

Step-by-step explanation:

let one angle be X and its adjacent angle be x- 20 degree

opposite anglesare equal in a parallelogram .

sum of all angle in a parallelogram is 360 degree

so,x+x-20 degree +x+x-20 degree =360 degree

= 4x-40 degree =360 degree

4x=400 degree

= x= 100 degree

the adjacent angle is x= - 20 degree 100 degree - 20 degree =80 degree

Hence, all the angles of the parallelogram are 100 degree , 80 degree ,100 degree ,80 degree