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Please help me on number 11 if you know how to :) !

Please help me on number 11 if you know how to :) !-example-1

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Answer:

(x, y) = (25, 18)

Explanation:

Use the angle sum theorem. You can write equations for the right angle and for the linear angle.

(x +11) +(3y) = 90 . . . . sum of angles making the right angle

(y +7) +90 +65 = 180 . . . . sum of angles making the linear angle

From the second equation, we have ...

y = 18 . . . . subtract 162

Substituting into the first equation gives ...

x + 11 + 3(18) = 90

x = 25 . . . . subtract 65

The values of x and y are 25 and 18, respectively.

_____

Check

VQ = 18+7 = 25

QR = 25 +11 = 36

RS = 3·18 = 54

ST = 65

The totals are 36 +54 = 90; 25 +36 +54 +65 = 180, as required.

User Joerick
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