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.
