Question

PT is the bisector of angle QPR in triangle pqr and PS is perpendicular to QR find X and Y when angle pqs with 50 degree and Angle prt is equal to 30 degree

Answer 1

Answer:

Step-by-step explanation:

in triangle PQR

<P + <Q + <R = 180 degree    ..........(A.S.P)  1.

<P + 50 + 30 = 180

<P = 180- 80

<P = 100 DEGREE

PT Is the bisector

=> <QPT = <RPT

= <QPT + <RPT = 100 degree

= <QPT  + <QPS = 100

= 2<QPT = 100

=>   <QPT = 100/2=50 degree .......  2.

In triangle PQS

<Q + <QSP + <QPS = 180 degree

50 + 90 + < QPS = 180

<QPS = 180 - 140 = 40 degree   ....... 3.

<QPT = < QPS + <x

 50 degree = 40 + <x

50-40=<x

<x = 10 degree......................

In triangle PTR

<PTR + <TRP + < RPT = 180 degree

< y + 30 + 50  = 180

<y = 180 - 80 = 100 degree...................    

I HOPE IT WILL HELP YOU  

Answer 2

Answer:

Hope it helps you...........