Question

In the given figure, if PQ ll RS, then find the relationship between a, b, and c

Answer 1

Answer:

DRAW A // LINE AB //TO PQ

A +1/2B +180 (CO INT.)

2A+B=90

1/2B=C (ALT INT.)

2A+1/2B+C = 90

Step-by-step explanation:

Answer 2

Answer:

The relationship between ∠a, ∠b and ∠c is ∠a+∠b-∠c =180°.

Step-by-step explanation:

Referring to the figure attached,

Let us draw a line JK parallel to lines PQ and RS.

∠MON = ∠MOJ +∠JON= ∠x+∠y

Using property of alternate interior angles in parallel lines,

∠a =∠MOJ = 180° -∠x

⇒∠x = 180°-∠a------(1)

∠c = ∠y--------(2)

∠b = ∠x+∠y-------(3)

Substituting (1) and (2) in (3),

∠b = 180°-∠a +∠c

∠a+∠b-∠c =180°

The relationship between ∠a, ∠b and ∠c is ∠a+∠b-∠c =180°.