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in the given figure pt is the bisector of angle qpr. qs=3x, rs=2x+2, pq=3y-1 and pr=y+5
1)solve the measure of rs
2)solve the measure of rq
3)solve the measure of pq
4)solve the measure of pr
5)solve the measure of pqsr

in the given figure pt is the bisector of angle qpr qs3x rs2x2 pq3y1 and pry5 1solve the measure of rs 2solve the measure of rq 3solve the measure of pq 4solve class=

Respuesta :

abidemiokin

Answer:

See solutions below

Step-by-step explanation:

1) From the diagram QS = RS

3x = 2x+2

3x-2x = 2

x = 2

Since RS = 2x+2

RS = 2(2)+2

RS = 4 + 2

RS = 6

2) RQ = RS + QS

RQ = 2x+2 + 3x

RQ = 5x+2

RQ = 5(2)+2

RQ = 12

3) PQ = PR

3y-1 = y+5

3y-y = 5+1

2y = 6

y = 3

PQ = 3y-1

PQ = 3(3)-1

PQ = 8

4) PR = y+5

PR = 3+5

PR = 8

5) PQSR = PQ + QR

PQSR = 8 + 12

PQSR= 20

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