Question

Which statements are true regarding the diagram?

GNH and HNJ are complementary.


JNK and KNL are supplementary.


KNL and LNM are complementary.


mHNK + mKNL = 180°


mMNG + mGNH = 90°

Answer 1

A, C, D are your answers

Answer 2

As <GNJ & < JNK form a striaght angle

And < JNK = 90°

So <GNJ = 90°

So <GNH + <HNJ = 90°

So GNH & HNJ are complimentary is true.

As JNK and KNL do not form a straight angle.

So <JNK +< KNL is not equal to 180°.

Hence JNK and KNL are supplementary is not true.

As <KNM & < JNK form a straight angle

And < JNK = 90°

So <KNM = 90°

So <KNL + <LNM = 90°

So KNL & LNM are complimentary is true.

As HNL makes a straight angle

And so

mHNK + mKNL = 180° is true

As MNG itself is 90°

So

<MNG + <GNH cannot be 90° hence this is false.