Question

19. Find the measure of the three missing angles in the

parallelogram below.
20
to
86⁰

Answer 1

x=94°, y=86°, z=94°

Explanation:

1) Since you know that consecutive angles are supplementary angles to each other, which means that they add up to 180°, you can come up with the equation x+86°=180°.

2) We can solve the equation by subtracting 86 on both sides to isolate x, and therefore solve for it. x=94°.

3) We can use the same theorem we used above to create an equation to find the value of y. y+94°=180°.

4) We can solve the equation for y by subtracting 94 on both sides. y=86°.

5) We can create another equation using this theorem, z+86°=180°.

6) We can solve the equation by subtracting 86 on both sides to isolate z. z=86°.

7) We can double-check this by adding all the values together, 86+94+86+94=360. This is the right answer!

Answer 2

x=94

y=86

Explanation:

A parallelogram has opposite angles that are congruent. Originally our equation would look like this:
360=y+2x+86

Because opposite angles are congruent, we know that y and 86 degrees have to be equal, so:

y=86

meaning:

360=86+86+2x

simplify

360=172+2x

subtract 172 from both sides

188=2x

divide both sides by 2

94=x

So, x=94 and y=86.

Hope this helps! :)