Question

Find the measure of the three missing angles in the rhombus below.

Answer 1

x = 67

y = 67

z = 113

Work:

There are a total of 360 degrees in a rhombus and a straight line is 180 degrees. You also know that opposite angles in a rhombus are equal.

If z is opposite 113, then z = 113.

Then to find x, 180 - 113 = 67.

If x is 67 then y is 67 since they are opposite angles.

Answer 2

x=67
y=67
z=113

Explanation:

Because this is a rhombus, that means that angle 113 and z are correlating, and angle y and x correlate. This is a four-sided shape, so the total of all four angles will add up to 360.

113 and z are correlating, so z is 113.

To find the other two, we first need to find out how much angle measurement is left. To do this, we will subtract angle 113 and z from 360 (our total).

This gives us 134 degrees left.

Now, since x and y are equal to each other, that means that their measurements will be exactly half of the remainder we just found.

So taking 134 and dividing it by 2, we get our final two measurements for x and y, 67 degrees each.