Test Index

WAEC Mathematics 2018 Paper

© africaexams.com

Question : 36

Total: 50

In the diagram, PR is a tangent to the circle at Q, QT//RS, < SQR = 35º and < RSQ = 50º. Find the value of <QST

40 $^o$
65 $^o$
85 $^o$
95 $^o$

Solution:

In the diagram,

a = 50 $^o$ (alternate angles)

b $_1$ + a + 35 $^o$ = 180 $^o$ (sum of angles on a straight line)

i.e; b $_1$ + 50 $^o$ + 35 $^o$

= 180º

b $_1$ + 180 $^o$ - 85 $^o$ = 90 $^o$

But b $_2$ = $b_1$ = 95 $^o$ (angles in alternate segment)

© africaexams.com

Go to Question:

Prev Question

Next Question