8. In the adjoining figure, PQ = PR and SQ = SR. Find angle PQS
and angle SRT
Answers
Answer:
This is a question of triangle. Hope this will help you.
Answer:
150 degrees
Step-by-step explanation:
now if PQ = PR in PQR so this makes it an isoceles triangle which have its two of the angles equal
so one of its angle is 50 degrees
and let rest two angles be x
so 50 + x + x = 180 deg
= 2x = 180 - 50
x = 130/ 2
x = 65
now we have SQ = SR in SQR which will make it an isoceles triangle which means two of its angles will be equal
so one of its angles is 110 degrees
let rest two angles be y
so 110 +y + y = 180 deg
=2y = 180 - 110
= y = 70/ 2
= y = 35 deg
so now we are supposed to find angle SRT
so SRT = SRP + PRT
so PRT = 180 - x
= 180 - 65 = 115
and SRP = x - y
= 65 - 35 = 30
now SRT = 115+ 30 = 145