ASSESSMENT
Question Id : 33896
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Question
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 find the measure of angle X, we can use the fact that the sum of the measures of angles in a triangle is always 180°.
Since angle W and angle Y are already given, we can subtract their measures from 180° to find the measure of angle X:
m∠X = 180° - m∠W - m∠Y
m∠X = 180° - 105° - 75°
m∠X = 180° - 180°
m∠X = 0°
Therefore, the measure of angle X is 0°.
So, the correct answer is not listed among the given options.
chooses one
If I have to choose one of the given options, I would choose option D, 75°.
To solve this question, we need to use the properties of angles in a triangle. In a triangle, the sum of all angles is always 180 degrees.
Given that m∠W is 105° and m∠Y is 75°, we need to find m∠X.
To find m∠X, we can use the fact that the sum of all angles in a triangle is 180 degrees.
Let's set up an equation:
m∠W + m∠Y + m∠X = 180°
Substituting the given values:
105° + 75° + m∠X = 180°
Combining like terms:
180° + m∠X = 180°
Subtracting 180° from both sides:
m∠X = 180° - 180°
m∠X = 0°
Therefore, m∠X is 0 degrees.
So, the correct answer is not among the given options.