Question

Lexi believes that there is not enough information to determine the

measure of LY. Ally believes the measure of LY is 117°. Who is correct?

Answer 1

Without specific information or a diagram, it's likely Lexi is correct that we cannot determine the measure of angle LY. Ally would need to provide evidence or a logical geometric explanation for her claim that angle LY is 117°.

Step-by-step explanation:

To determine who is correct about the measure of angle LY, we need more specific information about the context in which this angle is situated. For example, if angle LY is part of a geometric figure such as a triangle, and we have the measures of the other two angles, we could use the fact that the sum of the angles in a triangle is 180° to find the measure of LY. However, without additional information or a diagram, it is not possible to definitively state the measure of angle LY.

If Lexi implies that there is not enough information to determine the measure of angle LY, without any other context or information, she is likely correct. On the other hand, if Ally believes that the measure of LY is 117°, she would need to present evidence or a logical explanation based on geometric principles, such as the sum of angles in a triangle or linear pair postulates to support her claim.

Answer 2

There is insufficient information to determine the measure of LY.

Step-by-step explanation:

In this scenario, Lexi's stance that there isn't enough information to ascertain the measure of LY is correct. Ally's assertion of 117° lacks substantiation without additional data or context. To determine the measure of LY, supplementary details such as angles relationships, congruence, or supplementary information about the figure or problem are required. Without these specifics, providing a definitive angle measurement for LY is impossible.

Sometimes, a single angle measurement within a geometric figure can't be conclusively determined without a more comprehensive understanding of the figure's properties or other given angles. In this case, the absence of supplementary information prevents arriving at a precise angle measurement for LY, supporting Lexi's perspective.

In geometry, resolving unknown angles often necessitates leveraging known relationships or properties within a figure. As such, without further data or context, it remains inconclusive and impossible to validate Ally's proposed measure of 117° for LY.