Question

Quadrilateral ABCD is a parallelogram find the value of x,y and z​

Answer 1

Answer:

value of

x = 55

y = 75

z = 105

Answer 2

Given,

ABCD is a parallelogram.

Angle D = 125°

To find,

The values of x, y and z.

Solution,

The values of x, y and z will be 55°, 75° and 105° respectively.

We can easily solve this problem by following the given steps.

According to the question,

ABCD is a parallelogram.

Angle D = 125°

We know that the sum of the adjacent angles in a parallelogram is 180°.

So, angle A = 180°- angle D

x = (180-125)°

x = 55°

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

Angle D = Angle B

125° = (y+50)°

y = (125-50)°

y = 75°

Let's take the point on CD where a line is drawn from B to be O.

CD || AB

Then,

Angle BOC = y (alternate interior angles)

Angle BOC = 75°

We know that the angle made on a line is 180°.

z+angle BOC = 180°

z+75° = 180°

z = (180-75)°

z = 105°

Hence, the values of x, y and z are 55°, 75° and 105° respectively.