If m∠W = 105° and m∠Y = 75°, then m∠X =
Responses
A 10°.10°.
B 20°.20°.
C 30°.30°.
D 75°.75°.
E 120°.
To solve for the measure of angle X, we need to use the fact that the sum of the angles in a triangle is 180 degrees.
Since angle W and angle Y are two of the angles in the triangle, we can use the equation:
m∠W + m∠Y + m∠X = 180°
Plugging in the given values:
105° + 75° + m∠X = 180°
Adding the angles together:
180° + m∠X = 180°
Subtracting 180° from both sides:
m∠X = 0°
Therefore, the measure of angle X is 0°.
None of the given answer choices are correct.