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If m, angle, W, Y, T, equals, 110, degreesm∠WYT=110 ∘ , then what is m, angle, W, Y, Um∠WYU?

Question

If m, angle, W, Y, T, equals, 110, degrees

m∠WYT = 110°, then what is m∠WYU?

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Solution

1. Break Down the Problem

We are given information about angles in a geometric configuration. The angle m∠WYT is specified as 110 degrees. To find m∠WYU, we need to analyze the relationship between these angles.

2. Relevant Concepts

We will need to apply the concept of supplementary angles, or any specific relationships or properties if the angles are in a certain geometric configuration like triangles or straight lines. However, based on the problem as presented, we might need more information about the specific configuration.

3. Analysis and Detail

Without additional context (such as whether points W, Y, T, and U are on a straight line or part of a triangle), we cannot definitively calculate m∠WYU.

Assuming that W, Y, T, U are on a straight line (hence forming a linear pair), we could conclude that: mWYT+mWYU=180 m∠WYT + m∠WYU = 180^\circ

Using this relationship: mWYU=180mWYT m∠WYU = 180^\circ - m∠WYT mWYU=180110 m∠WYU = 180^\circ - 110^\circ mWYU=70 m∠WYU = 70^\circ

4. Verify and Summarize

Based on our assumption (that the angles are supplementary), the calculations confirm that m∠WYU equals 70 degrees.

Final Answer

mWYU=70 m∠WYU = 70^\circ

This problem has been solved

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