In the diagram, the points A, B, C and D lie on the circle, centre O. TA and TB are tangents touching the circle at A and B respectively. Angle AOB-132°, angle ACD = 59° and AOC is a straight line. 66 (i) Find, stating reasons clearly, (a) angle ATB, (b) angle BDA, to) angle BDC, (d) angle OBD. 132 Given that the radius of the circle is 6 cm, calculate the length of chord AD. b) A 48 DA = 132° 2 (ii)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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I need help with ia), d) and ii)
TA and TB are tangents touching the circle at A and B respectively.
In the diagram, the points A, B, C and D lie on the circle, centre O.
Angle AOB-132°, angle ACD = 59° and AOC is a straight hne.
(1)
Find, stating reasons clearly,
(a) angle ATB,
(b) angle BDA,
to) angle BDC,
(d) angle OBD.
(ii)
Given that the radius of the circle is 6 cm, calculate the length of chord AD.
b)
DA = 132° 1
= 66° CL at ctr is ax cat cire
c) LADC =90°CLS in a semicircle)
24° LLs in semicirde)
Transcribed Image Text:TA and TB are tangents touching the circle at A and B respectively. In the diagram, the points A, B, C and D lie on the circle, centre O. Angle AOB-132°, angle ACD = 59° and AOC is a straight hne. (1) Find, stating reasons clearly, (a) angle ATB, (b) angle BDA, to) angle BDC, (d) angle OBD. (ii) Given that the radius of the circle is 6 cm, calculate the length of chord AD. b) DA = 132° 1 = 66° CL at ctr is ax cat cire c) LADC =90°CLS in a semicircle) 24° LLs in semicirde)
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