Find the measure of the missing angles.
X=
Y=
Z=

X= 41

Y= 90

Z= 41

Step-by-step explanation:

X=Z

Y+49=139

Z+Y+49=180

X+139=180

139+49+X+Z+Y=180

These we know because of the placement of the angles.

Using this information, we can solve this in numerous ways. I'm going to solve it using one of them. Making both sides equal to 180 and then checking my work by adding all of the numbers I get together to make sure that they equal 360.

X+139=180

X=41

X=Z.

49+Z+Y=180

49+41+Y=180

90+Y=180

Y=90

Thus,

X= 41

Y= 90

Z= 41

To check, let's add them all together.

41+90+41+139+49=

360

This is correct!

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step-by-step explanation: