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Incomplete questions
Check attachment for correct question.
The correct answer is
A. ∠JXM and ∠NXP are complementary
step explanation:
line JP is a straight line and sum of angle on a straight line is 180°.
There are three angles on this straight line JP which are ∠JXM, ∠NXP and ∠MXN
Note: from the attachment, it is shown that ∠MXN is a right angle i.e. 90°.
Then, sum of angle on this line is 180°.
∠JXM + ∠NXP + ∠MXN = 180°
∠JXM + ∠NXP + 90° = 180°
∠JXM + ∠NXP = 180° — 90°
∠JXM + ∠NXP = 90°
From the definition of complementary angles : Two Angles are said to Complementary if their sum is 90° (a Right Angle).
They don't have to be next to each other, just so long as the sum is 90 degrees.
Then, since ∠JXM + ∠NXP add up to 90°, it shows that ∠JXM and ∠NXP are complementary
So the correct option is A
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