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°.120°.

Answer 1

[AI-generated answer — Bot GPT 3.5]

We know that the sum of the measures of the angles of a triangle is 180 degrees. Thus, m∠X + m∠W + m∠Y = 180°. Plugging in the given values, we have m∠X + 105° + 75° = 180°. Simplifying, we get m∠X + 180° = 180°. Subtracting 180° from both sides, we find that m∠X = 0°. However, angles are typically measured as positive values, so we can't have m∠X = 0°. Therefore, the answer is none of the above.

Answer 2

wrong choose one

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion. Let's try solving it again.

We know that the sum of the measures of the angles of a triangle is 180 degrees. Thus, m∠X + m∠W + m∠Y = 180°. Plugging in the given values, we have m∠X + 105° + 75° = 180°. Simplifying, we get m∠X + 180° = 180°. Subtracting 180° from both sides, we find that m∠X = 0°. However, angles are typically measured as positive values, so we can't have m∠X = 0°.

Since m∠X cannot be determined based on the given information, the answer is still none of the above.