Question

In the adjoining figure, m(arc WY) = 44°, m(arc ZX) = 68°, then

i. Find the measure of ∠ZTX. 

ii. If WT = 4.8, TX = 8.0, YT = 6.4, find TZ. 

iii. If WX = 25, YT = 8, YZ = 26, find WT.

Answer 1

i. Chords WX and YZ intersect internally at point T.

ii. WT × TX = YT × TZ [Theorem of internal division of chords]

iii. Let the value of WT be x. [W – T – X]

But, WT × TX = YT × TZ [Theorem of internal division of chords]

∴ WT = 16 units or WT = 9 units.