Question

Solve for x. Each figure is a parallelogram.

Answer 1

x = 4

Explanation:

The interior angles of a parallelogram always add up to 360 degrees.

We already know that one of the angles is 125 degrees, so we can subtract 125 from 360, leaving us with 235.

The angle right across from the 125 angle is congruent to it and so now we can subtract another 125 from 235, leaving us with 110 degrees.

There are 2 angles left, they are both the same measurement, so we can divide 110 by 2, leaving us with 55.

This means that 14x - 1 = 55

Time to find x

First, we are going to add 1 to both sides in order to cancel it out.

14x - 1 + 1 = 55 + 1

14x = 56

Now, we are going to divide both sides by 14 in order to cancel it out.

14/14 x = 56/14

x = 4

Hope this helps!

Answer 2

A)4

Explanation:

degree measure of the 4 angles of a trapezoid is 360

so

since we have only 2 angles, 360/2

180=125+(14x-1)

180-125=125+(14x-1)-125

55=14x-1

55+1=14x-1+1

56=14x

4=x or x=4

hope this helps!