Maths / Triangles / Angle Sum Property of a Triangle

QUESTION
 

The base of triangle ABC is produced both ways and the measure of exterior angles formed are 94^0 and 126^0 Then <BAC=

OPTIONS
A. 

94^0

B. 

54^0

C. 

40^0

D. 

44^0

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

Exterior angles are large 94^0 and large 126^0

So the interior angles are large 180^0-94^0= 86^0and  large 180^0-126^0= 54^0

Sum of angles = large 180^0

large angle A+ angle B+angle C=180^0

large angle A+86^0+ 54^0=180^0

large angle A+140^0=180^0

large angle A=180^0-140^0=40^0

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