Question

Find missing measures

Answer 1

73 for x and z, and 107 for y.

Explanation:

Hi!

Since there are four angles, we know there will be a sum of 360 degrees when we add up all measures.

Since it is 107° on one measure, we see the one directly across from it will be 107° as well.

We can set up an equation:

107 + 107 + 2n = 360

Adding:

214 + 2n = 360

Subtracting:

2n = 146

Dividing:

n = 73

Thus,
`\boxed{73{\text{\:is\:the\:measure\:of\:x\:as\:well\:as\:z,\:and\:y\:is\:107}}}}}`.

Hope this helps!

Answer 2

x=73°

z=73°

y=107°

Explanation:

x

180-107=73

x and z are vertical therefore equal

y is vertical to 107 so they are also equal