Question

Fig. 6.39
Fig. 6.40
Fig. 6.41
4. In Fig. 6.42, if lines PQ and RS intersect at point T, such that Z PRT=40°, ZRPT=95°
and ZTSQ = 75°, find Z SQT.​

Answer 1

Answer:

60 degree

Step-by-step explanation:

In triangle ptr,

angle prt = 40 degree

angle rpt = 95 degree

so angle ptr will be = 180-(40+95) = 45 degree (asp)

now, angle ptr = angle stq = 45 degree (vertical opposite angle)

In triangle tsq,

angle tsq = 75 degree

so, angle sqt will be = 180-(45+75) = 180-120 = 60 degree

Hence, angle sqt will be = 60 degree.