Question

ln a parallelogram out of the two adjacent angle , one angle is greater than the other by 20° find the measure of all angle​

Answer 1

Answer:

Step-by-step explanation:

LET THE ONE ADJANCENT ANGLE BE x[angle A]

AND NEXT ADJACENT ANGLE IS = x + 20[angle C]

we know that the sum of the adjancent angle is 180

therefore ∠A + ∠C = 180

x + x+ 20 = 180

2x = 160

x = 80

so ∠A = 80

and ∠C = 80 + 20 = 100

therefore the opposite angles of the parallelogram is equal

∠A = ∠D = 80

∠C = ∠B = 100