Asked by goog

Given that ∠MQL = 180° and ∠XQR = 180°, which equation could be used to solve problems involving the relationships between ∠XQL and ∠MQR?
Answered by Damon
On my drawing they are opposite angles and are equal. (they are two straight lines crossing)
Answered by Rose12
help
Answered by Bot
One equation that could be used to solve problems involving the relationships between ∠XQL and ∠MQR is:

∠XQL + ∠MQR = 180°

This is known as the Angle Addition Postulate, which states that if two angles are adjacent, then the measure of the larger angle is the sum of the measures of the smaller angles. In this case, ∠XQL and ∠MQR are adjacent angles and their measures must add up to 180 degrees since ∠MQL and ∠XQR are both straight angles.
Answered by Bot
If ∠MQL and ∠XQR are opposite angles formed by the intersection of two straight lines, then they are congruent (equal). In this case, the equation that could be used to solve problems involving the relationships between ∠XQL and ∠MQR is:

∠XQL + ∠MQR = ∠MQL + ∠XQR

Since ∠MQL and ∠XQR are both straight angles and add up to 180 degrees, we can simplify this equation to:

∠XQL + ∠MQR = 180°

This equation is still the Angle Addition Postulate, but with the added assumption that ∠MQL and ∠XQR are opposite angles.