Question

find x,y,z in the given parallelogram

Answer 1

Answer:

angle CBA = 180⁰ - 70⁰

= 110⁰

angle CBA = angle ADC = 110⁰

(opposite angles of a parallelogram)

angle CBA + angle DAB = 180⁰(Co- interior angles)

45 + x + 110 = 180⁰

x + 45 = 70⁰

x = 25⁰

angle DAC = angle BCA(alternate interior angles)

angle BCA = 45⁰

Therefore , x = 25⁰

y = 45⁰

z = 110⁰