Question

PQ and RS are two parallel straight lines intersected by another straight line CD at M and N respectively. If< PMC=70°, find < RAM, < SNM <DNS​

Answer 1

Answer:

PQ RS two straight intersected another line at and respectively. < =°find RAM< <

Step-by-step explanation:

And do v I I

Answer 2

Answer:

Draw BL⊥PQ and CM⊥RS. As PQ∥RS, so, BL∥CM.

The alternate interior angles are equal, so,

∠LBC=∠MCB (1)

It is known that the angle of reflection is equal to the angle of incidence, therefore,

∠ABL=∠LBC (2)

And,

∠MCB=∠MCD (3)

From equation (1), (2) and (3),

∠ABL=∠MCD (4)

Add equation (1) and (4),

∠LBC+∠ABL=∠MCB+∠MCD

∠ABC=∠BCD

Since, these are the interior angles and are equal, hence, AB∥CD.

solution