Question

Find the values of xy and zin a parallelogram ABCD shown in the figure given below.​

Answer 1

Answer:

Step-by-step explanation:

We know that in a parallelogram, the opposite angles are equal

so

angle B = angle D

3y = 114

y = 114/3 = 38 degrees

Now angle A is also equal to angle C = a

so 114 + 114 + 2a = 360 (Angle Sum of a Quadrilateral)

= 228 + 2a = 360

= 2a = 132

= a = 66

so

angle A = 66

42 + z =66

z = 14

In triangle ABC,

42 + 114 + x = 180

156 + x = 180

x = 24