Question

in the given figure,PS is the bisector of QPR and PT | QR. PRT=60,PQS=60,find SPT​

Answer 1

Answer:

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

Answer 2

Answer:

PT perpendicular to QR

=> T = 90⁰

PS is the bisector of QPR

QPS=SPT

in triangle PQT

T+Q+QPT = 180⁰

90⁰+60⁰+QPT = 180⁰

150⁰+QPT = 180⁰

QPT = 180⁰-150⁰

QPT = 30⁰

in triangle PTR

TPR+R+T = 180⁰

TPR +60⁰+90⁰ = 180⁰

TPR+150⁰ = 180⁰

TPR = 180⁰-150⁰

TPR = 30⁰

if two sides of a triangle are 60⁰ then third side is also 60°

QPS+SPT+TPR = 60⁰

SPT+SPT+TPR=60⁰

2×SPT+30⁰=60⁰

2×SPT = 60⁰-30⁰

SPT = 30÷2

SPT = 15⁰

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