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Tamiku [17]
3 years ago
13

Which statements about the diagram are true? Check all that apply.

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

<u>Statements</u>

<u>case 1)</u> x = 63

we know that

m∠x°=63°-------> by corresponding angles

therefore

the statement case 1) is True

<u>case 2)</u> y = 47

we know that

47+x+y=180\\y=180-x-47\\y=180-63-47\\ y=70\ degrees

therefore

the statement case 2) is False

<u>case 3)</u>  z = 117

we know that

z+63=180 --------> by supplementary angles

z=180-63\\z=117\ degrees

therefore

the statement case 3) is True

<u>case 4)</u> y + z = 180

we know that

y=70\\ z=117\\ y+z=187

therefore

the statement case 4) is False

<u>case 5)</u> x + z = 180

we know that

x=63\\ z=117\\ y+z=180

therefore

the statement case 5) is True

Hence

<u>the answer is</u>

x = 63\\z = 117\\x + z = 180


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