Question

in the given figureABCD is a parallelogram . Find X,Yand z​

Answer 1

Answer:

x=55°

y=69°

z=111°

Step-by-step explanation:

AB║DC

i) 125°+x=180°          (Adjacent angles in a parallelogram are supplementary)

x=180°-125°

x=55°

ii)  56°+y=125°           (In a parallelogram the opposite angles are equal)

y=125°-56°

y=69°

iii) If EC is the transversal

y+z=180°             (Co-interior angles or angles on the same side of the transversal)

69°+z=180°

z=180°-69°

z=111°

Answer 2

Step-by-step explanation:

Given :

• in the given figureABCD is a parallelogram . Find X,Yand z

to find :

• Find X,Yand z

solution :

• From the figure

• AD | BC, BD is the transversal line

• ⇒ ZADB = ZDBC

• ⇒z 30°

• Also

• supplementary angles

• 100°,

• x, y, 30° forms a triangle

• ⇒ x+y+30° = 180°

• ⇒ y = 180°- 80° -30° = 70°