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3 years ago

Solve for brainliest

Mathematics

1 answer:

tekilochka [14]3 years ago

6 0

9514 1404 393

Answer:

∠W = 130
∠X = 140
∠Y = 50
∠Z = 40

Step-by-step explanation:

Using 'y' and 'z' to represent angles with the corresponding names, we have ...

y + z = 90

(3b -1) +(2b +6) = 90 . . . . substitute the given expressions

5b +5 = 90 . . . . . . . . . . . . simplify

b +1 = 18 . . . . . . . . . divide by 5

b = 17 . . . . . . . . subtract 1

Then the angles are ...

y = 3b -1 = 3(17) -1 = 51 -1 = 50

z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be

Angles W and Y form a linear pair, so are supplementary:

W = 180 -Y = 180 -50 = 130

Angles X and Z form a linear pair, so are supplementary:

X = 180 -Z = 180 -40 = 140

Then the angle measures are ...

∠W = 130
∠X = 140
∠Y = 50
∠Z = 40

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<em>Note: I am assuming we have to determine the value of the side 'x'.</em>

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Solve for brainliest​

Solve for brainliest