∠1 and the 50° angle are adjacent.
m∠1 = 180° – 50°
m∠1 = 50° because ∠1 and the 50° angle are vertical angles.
m∠2 = 135° because ∠2 and the 45° angle are supplementary.
m∠2 cannot be determined from the information given.
m∠2 = 180° – 50° – 45°
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To find the correct values of the angles, let’s clarify the information:
1. If ∠1 and the 50° angle are adjacent, ∠1 is not a vertical angle to the 50°. Instead, adjacent angles share a common vertex and side but do not overlap.
2. Given the equation m∠1 = 180° – 50°, you correctly find that m∠1 = 130° because adjacent angles sum to 180°.
3. For m∠2 = 135° because it’s said to be supplementary to the 45° angle; that’s not accurate unless there’s clarity that implies m∠2 + 45° = 180°.
4. The claim m∠2 = 180° – 50° – 45° involves determining a specific geometric configuration, which will be context-dependent.
To summarize the correct answers, we can say:
– m∠1 = 130° (adjacent to the 50° angle).
– m∠2 can only be determined if we know the relation to other angles explicitly stated.
Thus, the answer to your question is that m∠2 cannot be determined without additional information defining its relationship clearly to other angles.