9514 1404 393
Answer:
x = 19.25
Step-by-step explanation:
Each half of the rhombus is an isosceles triangle. The two "base" angles are the same measure, and the sum of all angles is 180°:
(2x -1)° +(2x -1)° +(4x+28)° = 180°
8x = 154 . . . . . . . . . . divide by °, collect terms, subtract 26
x = 154/8
x = 19.25
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Check
The angle measures are ...
(2x -1)° = (2(19.25) -1)° = 37.5°
(4x +28)° = (4(19.25) +28)° = 105°
Then the angle sum is 37.5 +37.5 +105 = 180, as it should be.
