Question

4. In Fig. 6.31. if PQ | ST, Z PQR = 110° and
ZRST=130°, find Z QRS.
[Hint : Draw a line parallel to ST through
point R.]
130
110
Fig. 6.31 need ans fast..​

Answer 1

TF:LQRS.

CONSTRUCTION:DRAW XY||PT.

SINCR XY||PQ,

LPQR=LQRY=110° (ALTERNATE ANGLES)

SINCE ST||XY,

LTSR=LSRX = 130°(ALTERNATE ANGLES)

LSRX+LSRY=180°(LINEAR PAIR)

OR, 130°+LSRY=180°

OR, LSRY=180°-130°

=50°

LQRY=LQRS+LSRY

OR, 110°=LQRS+50°

OR, LQRS=110°-50°

=60°

THEREFORE,LQRS=60°

Answer 2

Answer:

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