Question

the measure of two adjacent angle of a parallelogram are in the ratio 7:11 find the measure of each angle

Answer 1

Step-by-step explanation:

Adjacent angles of parallelogram are supplementary

let the common multiple be x

so, 7x: 11x

therefore ,

7x+11x=180

18x=180

x=180÷18

x= 10

therefore

7x=7×10=70

11x=11×10=110

Similarly we can find the opposite angles also

so, the opposite angles of the parallelogram are congruent

therefore the measur of angles are

70,110,70and 180