Question

ABCD is a parallelogram. Find x, y and z.
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Answer 1

Answer:

x is 55

y is 69

z is 56

Step-by-step explanation:

angle a + angle d is equal to 180

angle d and angle c is also equal to 180

angle z is equal to 56 (alternate angle)

Answer 2

Answer:

y is 69°

z is 56°

x is 55°

Step-by-step explanation:

angle A is equal to angle C ( property of parallelogram)

let's take angle ECB as w

angle A = y + w

125 = y + 56 (125 - 56 = 69)

thus, y is equal to 69°

angle w is equal to angle z ( interior alternative angles)

thus, angle z is 56°

let ECB be a triangle

take CEB angle as v

triangle ECB = w + v + B ( angle sum property of triangle)

180 = 56 + 69 + B ( y = v because interior alternative angles)

180 = 125 + B

180 - 125 = B

B = 55

angle B is equal to angle x ( property of parallelogram)

thus, x is 55°

I hope it will help you dr