If m angle W = 105 deg and m angle Y = 75 deg then m angle X 4× A 10 deg 4x 20 deg B C 30 deg D 75 deg x E 120 deg
If angle W is 105 degrees and angle Y is 75 degrees, angle X can be calculated as follows:
Angle W + Angle X + Angle Y = 180 degrees (sum of angles in a triangle)
105 degrees + Angle X + 75 degrees = 180 degrees
180 degrees - 105 degrees - 75 degrees = Angle X
Angle X = 180 degrees - 180 degrees
Angle X = 0 degrees
Therefore, the correct answer is 0 degrees or none of the given options.
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If angle W is 105 degrees and angle Y is 75 degrees, the sum of angle W, angle X, and angle Y must be 180 degrees.
Angle W + Angle X + Angle Y = 180 degrees
105 degrees + Angle X + 75 degrees = 180 degrees
Adding and subtracting 105 degrees and 75 degrees from both sides:
Angle X = 180 degrees - 105 degrees - 75 degrees
Angle X = 180 degrees - 180 degrees
Angle X = 0 degrees
Therefore, the correct answer is 0 degrees or none of the given options.
To find the measure of angle X, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Given that angle W measures 105 degrees and angle Y measures 75 degrees, we can determine the measure of angle X as follows:
1. Start with the sum of the angles in a triangle:
angle W + angle X + angle Y = 180 degrees
2. Substitute the given values:
105 degrees + angle X + 75 degrees = 180 degrees
3. Simplify the equation:
180 degrees - (105 degrees + 75 degrees) = angle X
180 degrees - 180 degrees = angle X
0 degrees = angle X
Therefore, the measure of angle X is 0 degrees.
Based on the answer choices provided, option A (10 degrees) or option C (30 degrees) would be the closest values to 0 degrees. However, without additional information, we cannot determine the exact measure of angle X from the given choices.