Question

If m∠RXU = 128°, then what is m∠TXS?

Answer 1

To find the measure of angle ∠TXS, subtract the measure of angle ∠RXU from 360 degrees.

Step-by-step explanation:

To find the measure of angle ∠TXS, we need to use the concept that the sum of the measures of the angles around a point is equal to 360 degrees. Since ∠RXU has a measure of 128 degrees, the sum of ∠RXU and ∠TXS must be equal to 360 degrees. Therefore, ∠TXS = 360 - 128 = 232 degrees.

Answer 2

The measure of ∠TXS can be determined using the Vertical Angles Theorem. If m∠RXU is 128°, then m∠TXS is also 128°.

Step-by-step explanation:

The Vertical Angles Theorem states that when two lines intersect, the vertical angles formed are congruent. In the given scenario, ∠RXU and ∠TXS are vertical angles, which means they have equal measures.

Mathematically, m∠RXU = m∠TXS, so if m∠RXU is given as 128°, then m∠TXS is also 128°. This is because the angles are congruent, and the measure of one angle can be directly applied to the other.

Therefore, the answer is that m∠TXS is 128° based on the Vertical Angles Theorem. No additional calculations are needed, as the relationship between vertical angles ensures that their measures are equal.