Processing math: 0%
Home / Aptitude Tests / Mathematics / In the diagram above...

In the diagram above, PQ is a tangent at T to the circle ...

In the diagram above, PQ is a tangent at T to the circle ABT. ABC is a straight line and TC bisects ∠BTO. Find x.

In the diagram above, PQ is a tangent at T to the circle ABT. ABC is a straight line and TC bisects ∠BTO. Find x.

A.

20o

B.

30o

C.

35o

D.

40o

E.

50o

Correct answer is E

From the figure < TAB = < BTQ = 40° (alternate segment)

< ATB = 180° - (70° + 40°) = 70° (angle on a straight line)

< BTC = \frac{40°}{2} = \frac{< BTQ}{2}

\therefore < BTQ = 40°

x° = 180° - (40° + 70° + 20°) 

= 50°