christamiracle22
Answered

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solve for the variables

Solve For The Variables class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  (x, y) = (36, 68)

Step-by-step explanation:

Let z represent the measure of each half of the bisected angle. We can write some equations relating x, y, and z based on the fact that the sum of interior angles of a triangle is 180°.

  x +2z = 90 . . . . . . sum of acute angles in a right triangle

  x +117 +z = 180

  y +58 +2z = 180

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Using the first equation to substitute for x in the second equation, we get ...

  (90 -2z) +117 +z = 180

  27 = z . . . . . . . add z -180

Then ...

  x = 90 -2(27) = 36

  y = 180 -58 -2z = 122 -2(27) = 68

The variable values are x = 36 and y = 68.

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