Answer:
∠JXM and ∠NXP are complementary
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
[tex]m\angle JXM+m\angle MXN+m\angle NXP=180^o[/tex] ----> form a straight line
we have
[tex]m\angle MXN=90^o[/tex]
substitute
[tex]m\angle JXM+90^o+m\angle NXP=180^o[/tex]
[tex]m\angle JXM+m\angle NXP=180^o-90^o[/tex]
[tex]m\angle JXM+m\angle NXP=90^o[/tex]
Remember that
Two angles are complementary, if their sum is equal to 90 degrees
therefore
∠JXM and ∠NXP are complementary
