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Sagot :

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.

[tex]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[/tex]

The length of PQ is 7.

#teamtrees #WAP (Water And Plant)

ameliasta11

Answer:

y = 65 degrees

x = 115 degrees

z = 115 degrees

Step-by-step 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

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