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2 answers:
Answer:
x = 60°
Step-by-step explanation:
Hello!
The sum of angles on a line is 180°.
Given that Angle G is 90°, the other measure on Line DB would also be 90°. The missing angle next to x can be called y.
- x° + y° = 90°
The Angle y can be calculated by using the Vertical Angles Theorem. The theorem states that if two non-adjacent angles are formed by the intersection of two lines, the measures of the angles are congruent.
This means that the measure of Angle y is 30°, as the 30° angle and y are non-adjacent and are formed by the intersection of lines AC and EF.
<h3 /><h3>Angle X</h3>We can now solve for x by plugging in 30° for y in the equation.
- x° + y° = 90°
- x° + 30° = 90°
- x° = 60°
The value of x is 60°.
Answer: x = 60°
Step-by-step explanation:
We know a circle is equal to 360°, so we can subtract from 360° to find x using vertical angles and other given details.
Vertical (opposite) angles are equal to each other. This is why, for example, we know AGE and FGC are both 30°.
See attached for a breakdown of the angles.
360° - 30° - 30° - 90° - 90° = 2x
120° = 2x
60° = x
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