Question

4 MARKS QUESTIONS 6. In the figure, line / || line m and line n is the transversal. If mL AQR = 60°, then find m2 QTU, mZPQT, mLQTS and mZBTU. 60 R т U B . In the figure, line / || line n | line m.​

Answer 1

answer:

given , line l || line m and n is the transversal.

also, angle AQR = 60°

Now,

angle QTU = angle AQR = 60°. (corresponding angles)

and,

angle PQT = angle AQR = 60°. (vertically opp. angles)

Now,

in line m ,

angle QTS + angle QTU = 180°. (linear pair)

angle QTU = 60°. (proved above)

then,

angle QTS + 60° = 180°

angle QTS = 180 - 60 = 120°

we have ,

angle QTS = 120°

now,

angle QTS = angle BTU = 120° ( vertically opp. angles)

Thus ,

angle QTU = 60°

angle PQT = 60°

angle QTS = 120°

angle BTU = 120°

please mark as Brainliest...