Question

If lines pq and rs intersect at point t such that angle prt =40 and angle rpt =95 and angle tsq =75 find angle sqt

Answer 1

this is the solution of your problem

Answer 2

Given :- angle PRT = 40°, angle RPT = 95°, angle TSQ = 75°

To find :- angle SQT

95° + 40° + angle 1 = 180° (angle sum property).

135° + angle 1 = 180°

angle 1 = 180°

135°

angle 1 = 45°

angle 2= angle 1 (vertically opp. angles)

angle 2 = 45°

75° + angle 2 + angle 3= 180° (angle sum property).

75° + 45° + angle 3= 180°

120° + angle 3 = 180°

angle 3 = 180° - 120°

angle 3 = 60°

Therefore, SQT = 60°