Answer:
m∠ LHJ = 90 °
Step-by-step explanation:
We are given this image with AD ║ GJ, and two transversal - KF, EL. In this case it would be more appropriate to take a look at the transversal EL. Now EL is an unusual transversal as it form right angles with the parallel lines ( m∠ ABE = 90 ° ). Nevertheless, it still follows certain rules that correspond to parallel lines with a transversal;
Same Side Interior / Exterior Angles Supplementary,
Alternate Interior / Exterior Angles ≅,
Corresponding Angles ≅
If you apply all these rules, you would find that all 8 angles formed through the parallel lines AD and GJ, EL are 90 degree angles;
Solution ⇒ m∠ LHJ = 90 °
