Maths / Triangles / Angle Sum Property of a Triangle

QUESTION
 
AB II DE. Find large angle ACD
OPTIONS
A. 

80^0

B. 

70^0

C. 

110^0

D. 

120^0

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

 

Ab II DE

large angle CED = 30^0 [ Alternate: Angles]

In triangle CDE

large angle CED + angle CDE+angle DCE = 180^0;; [ Angle ;sum ;property]

large 30^0 + 40^0 +angle DCE = 180^0

large 70^0 +angle DCE = 180^0

large angle DCE = 180^0 - 70^0 = 110^0

large angle ACD + angle DCE = 180^0;; [ Linear ;Pair]

large angle ACD + 110^0 = 180^0

large angle ACD = 180^0 - 110^0 = 70^0

 

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