E to 846 110° 110° A B 70 NOT TO SCALE In the pentagon ABCDE, angle EAB angle ABC 110° and angle CDE = 84°. Angle BCD = angle DEA =x°. (ii) BC=CD. CBD = CDB Calculate angle CBD. CBD + CDB + DCB = 180 CBD + CBD + x = 180 2CBD + 118= 180 31 Answer(a)(ii) Angle CBD- 180-118 CBD = = 31

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 2E
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E
to
846
110°
110°
A
B
70
NOT TO
SCALE
In the pentagon ABCDE, angle EAB angle ABC 110° and angle CDE = 84°.
Angle BCD = angle DEA =x°.
(ii) BC=CD.
CBD = CDB
Calculate angle CBD.
CBD + CDB + DCB = 180
CBD + CBD + x = 180
2CBD + 118= 180
31
Answer(a)(ii) Angle CBD-
180-118
CBD =
= 31
Transcribed Image Text:E to 846 110° 110° A B 70 NOT TO SCALE In the pentagon ABCDE, angle EAB angle ABC 110° and angle CDE = 84°. Angle BCD = angle DEA =x°. (ii) BC=CD. CBD = CDB Calculate angle CBD. CBD + CDB + DCB = 180 CBD + CBD + x = 180 2CBD + 118= 180 31 Answer(a)(ii) Angle CBD- 180-118 CBD = = 31
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