Question

Pls help
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Answer 1

y = 65 degrees

x = 115 degrees

z = 115 degrees

Explanation:

the angle between c and a will be the same as y because of vertical angles

the same goes for x and z

y and x are supplementary angles, so if y is 65 then you do 180 - 65 to get 115

Answer 2

Answer and Step-by-step explanation:

Because of the vertical angles theorem, the angle that is 65 degrees would be equal to y.

y = 65°

X and Y are supplementary angles, which form a linear lair. This linear pair will add up to 180 degrees.

TO find x, we subtract 65 from 180.

180 - 65 = 115

x = 115°

X and Z are vertical angles, so they are equal to each other.

z = 115°

x = 115°

y = 65

z = 115°

To solve for the length of PQ, we would use the Pythagorean theorem equation.

`a^(2) +b^(2)= c^(2) \\\\\\a = PQ\\\\b = QR\\\\c = PR\\\\\\a^(2) + 24^(2) = 25^(2) \\\\a^(2) + 576 = 625\\\\a^(2) = 49\\\\a = 7`

The length of PQ is 7.

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