Question

Given that ∠MQL = 180° and ∠XQR = 180°, which equation could be used to solve problems involving the relationships between ∠MQR and ∠XQL?

Answer 1

Mark me as brainiest if it helps

Answer 2

$\angle XQM+\angle MQR=\angle MQR+\angle LQR$

So,Above expression is the relation.

Step-by-step explanation:

Given,

$\angle MQL = 180$° and $\angle XQR=180$°

From figure,

Line $ML$ and line $XR$ are perpendicular to each other.

i.e, $ML\perp XR$

So, All four angle making by line $ML$ and $XR$ are write angle.

i.e, $\angle XQL=\angle XQM=\angle MQR=\angle RQL=90$°

∴ $\angle XQM+\angle MQR=180$°__1

And,

$\angle MQR+\angle LQR=180$° __2

∴ $\angle MQL=\angle XQR$

From equation-1 & 2,

$\angle XQM+\angle MQR=\angle MQR+\angle LQR$

∴ Above expression is the relation.