4. In Fig. 6.42, if lines PQ and RS intersect at point T, such that PRT = 40°,
RPT = 95° and
TSQ = 75°, find
SQT.
We have,
lines PQ and RS intersect at point T, such that PRT = 40°,
RPT = 95° and
TSQ = 75°
In PRT, by using the angle sum property
PRT +
PTR +
TPR =
So, PTR =
Since lines, PQ and RS intersect at point T
therefore, PTR =
QTS (Vertically opposite angles)
QTS =
Now, in QTS,
By using the angle sum property
TSQ +
STQ +
SQT =
So, SQT =