Question

In the figure given below, ST||QR and angle P =50°, angle Q =60°, find :
a. angle PST
b. angle PTS
c. angle QST​

Answer 1

angle PST = 60°

angle PTS = 70°

angle QST = 120°

Solution

Sum of interior angle of triangle = 180°

P = 50° ; Q = 60°

R = 180 - 50 - 60

R = 70°

In parallel line Corresponding angles are equal and co- interior angles add upto 180°

Since ST||QR

Corresponding angles are equal

Angle Q = angle PST = 60°

Angle R = angle PTS = 70°

co- interior angles add upto 180°

angle Q + angle QST = 180°

angle QST = 180 - 60 = 120°