In the fiqure where PQRTU is a circle, ISTI = IRSI and angle TSR =...

Mathematics

JAMB 1982

In the fiqure where PQRTU is a circle, ISTI = IRSI and angle TSR = 52^o. Find the angle marked m

A. 128^o
B. 52^o
C. 104^o
D. 64^o
E. 116^o

WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now

Your School's Whatsapp Group - Join Us now

Correct Answer: Option E

Explanation

< STR = \(\frac{180 - 52}{2}\) = \(\frac{128}{2}\) = 64^o

< PTR = 180 - < STR(angle on a straight line)

= 180 - 64 = 116^o

< PQR + < PTR = 180(Supplementary)

< PQR + 118 = 180

< PQR = 180 - 118

= 64

M = 180 - < PQR

= 180 - < PQR = 180 - 64

= 116^o

Previous Next

Go back to Maths classroom

Report an Error Ask A Question Download App