To find the value of y in the given diagram, we need to use the angle relationships.
We are given that the angle 120° is equal to (2x + 10)° (2y + 30)°.
So, we can set up the equation as follows:
120 = (2x + 10)(2y + 30)
Expanding the equation, we get:
120 = 4xy + 60x + 20y + 300
Rearranging the terms, we get:
4xy + 60x + 20y + 180 = 0
To solve for y, we need to rewrite the equation in terms of y:
4xy + 20y = -60x - 180
Factoring out y from the left side of the equation, we get:
y(4x + 20) = -60x - 180
Dividing both sides by (4x + 20), we get:
y = (-60x - 180) / (4x + 20)
Simplifying the right side of the equation, we get:
y = -15(x + 5) / (x + 5)
The term (x + 5) cancels out, giving us:
y = -15
Thus, the value of y is -15.
120° (2x + 10)° (2y + 30)° Using the angle relationships, determine the value of y in the diagram above y = 15 y = 30. y = 45 y = 90
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