Answer:
- x = 38.5
- y = -12.5
- m∠EBD = 26°
Explanation:
The sum of the three angles is 180°.
(2x) +(x+y) +(52-2y) = 180
3x -y = 128 . . . . write in standard form
The congruent angles have equal measure.
2x = 52 -2y
x + y = 26 . . . . write in standard form
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Adding these two standard-form equations, we get ...
(3x -y) +(x +y) = (128) +(26)
4x = 154
x = 38.5
x + y = 26
y = 26 -38.5 = -12.5
The values of interest are ...
- x = 38.5
- y = -12.5
- m∠EBD = 26°