Question

Find x,y ,z in the given parallelogram​

Answer 1

Answer:

y= 45° (Alternate Angeles are equal)

x+y=70° (sum of interior opposite angles=

exterior angle)

x+45°=70°

x=70°-45°

x=25°

x+45°+z=180°

25°+45°+z=180°

z=180°-70°

z=110°

Step-by-step explanation:

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Answer 2

Answer:

let say angle CAB = a

so 70+ a = 180 ( angles on a straight line)

a = 180- 70

a= 110°

a= z ( opposite angles of ||gm)

z = 110°

z+ 45+ x = 180( adjacent angles sum is 180 in ||gm)

110+ 45+x = 180

155+x = 180

x = 180- 155

x= 25°

now in triangle CAB

x+y+a = 180( angle sum property)

25+ y+ 110= 180

135+y = 180

y = 180- 135

y= 45°

x = 25, y = 45 z= 110

Step-by-step explanation:

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