Question

the two triangles below are similar. also, m∠g=45° and m∠e=110°, as shown below. find m∠j, m∠k, and m∠l. assume the triangles are accurately drawn.

Explanation:

Step1: Calculate m∠F in △EFG

Sum of angles in triangle: $180^\circ = m∠E + m∠G + m∠F$
$m∠F = 180^\circ - 110^\circ - 45^\circ = 25^\circ$

Step2: Match angles for similarity

Assume △EFG ~ △JIK (corresponding angles equal). So:
$m∠J = m∠E = 110^\circ$, $m∠K = m∠G = 45^\circ$, $m∠I = m∠F = 25^\circ$

Answer:

$m∠J = 110^\circ$, $m∠K = 45^\circ$, $m∠I = 25^\circ$