Since the sum of ∠JXM and ∠NXP is 90degrees, hence ∠JXM and ∠NXP are complementary.
Complementary and supplementary angles
The sum of complementary angles is equal to 90 degrees.
From the given diagram, we know that the sum of angle on the straight line is 180 degrees. Hence;
∠JXM + 90 + ∠NXP = 180
∠JXM + ∠NXP = 180 - 90
∠JXM + ∠NXP = 90 degrees
Since the sum of ∠JXM and ∠NXP is 90degrees, hence ∠JXM and ∠NXP are complementary.
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