Question

Angles J X M, M X N, and N X P form a straight line. Angle M X N is a right angle.

Which statement is true about ∠JXM and ∠NXP?

Answer 1

Answer:The answer is A, I got it right

Explanation:

Answer 2

∠JXM and ∠NXP are complementary

Explanation:

see the attached figure to better understand the problem

we know that

`m\angle JXM+m\angle MXN+m\angle NXP=180^o` ----> form a straight line

we have

`m\angle MXN=90^o`

substitute

`m\angle JXM+90^o+m\angle NXP=180^o`

`m\angle JXM+m\angle NXP=180^o-90^o`

`m\angle JXM+m\angle NXP=90^o`

Remember that

Two angles are complementary, if their sum is equal to 90 degrees

therefore

∠JXM and ∠NXP are complementary