Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

ik and ln are parallel lines. which angles are alternate interior angle…

Question

ik and ln are parallel lines. which angles are alternate interior angles? ∠lmj and ∠kjm ∠lmj and ∠nmj ∠lmj and ∠ij m ∠lmj and ∠kjh

Explanation:

Brief Explanations

Alternate - interior angles are formed when a transversal intersects two parallel lines. They are on the interior of the parallel lines and on opposite sides of the transversal. In the given figure with parallel lines $\overleftrightarrow{IK}$ and $\overleftrightarrow{LN}$ and transversal $\overleftrightarrow{HO}$, $\angle LMJ$ and $\angle IJM$ are alternate - interior angles. $\angle LMJ$ and $\angle KJM$ are same - side interior angles. $\angle LMJ$ and $\angle NMJ$ are adjacent angles. $\angle LMJ$ and $\angle KJH$ have no such special angle - relationship.

Answer:

$\angle LMJ$ and $\angle IJM$