Question

If the lines PQ and RS intersect at a point T such that ∠PRT = 40^o, ∠RPT = 95^o and ∠TSQ = 75^o. Then the measure of ∠SQT is:

• A. 50^o
• B. 45^o
• C. 60^o
• D. 90^o

Answer 1

The correct option is C

60^o

In ∆ PRT

ÐPRT + ÐRPT + ÐPTR = 180^o (angle sum property)

ÐPTR = 45^o

ÐPTR = ÐSTQ (vertically opposite angles)

Now, in ∆ STQ

ÐSQT + ÐSTQ + ÐTSQ = 180^o (angle sum property)

ÐSQT = 60^o