Question

Find the value of x, y, and z in the parallelogram below.

Answer 1

x = 95,

y = 83,

z = 25

Explanation:

The shape shown in the image is a parallelogram.

In parallelograms, the sum of any two adjacent angles add up to 180°.

• Based on the above mentioned information, we can write the following equation:

4z + 4 + 76 = 180

• Add like terms on the left side.

4z + 80 = 180

• Subtract 80 from both sides.

4z = 100

• Divide both sides by 4.

z = 25

Let's do the same for x:

76 + x + 9 = 180

• Add like terms.

85 + x = 180

• Subtract 85 from both sides.

x = 95

To find the value of y, we can use a different rule in parallelograms:

• The opposite angles are equal in measurement.

y - 7 = 76

• Add 7 to both sides.

y = 83