In the figure, angle ABC = 65° and angle ACB = 58°, the measure of angle BDC is
  • a)
    45°
  • b)
    68°
  • c)
    90°
  • d)
    57°
Correct answer is option 'D'. Can you explain this answer?

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Answers

Johan Joseph
Mar 01, 2022
angle ABC = 65� 

angle ACB = 58�

In traingle  BAC
 angle A = x
angle A  = 65
 +58
+x = 180
 ( angle sum property)
x = 180 - 123
x = 57 
so ,  angle A  = 57 
{ Angle BDC = 57
� ( angles in a same segment are equal ) theorem }

angle ABC = 65�angle ACB = 58�In traingle BACangle A = xangle A = 65�+58�+x = 180�( angle sum property)x = 180 - 123x = 57�so , angle A = 57�{ Angle BDC = 57� ( angles in a same segment are equal ) theorem }
angle ABC = 65�angle ACB = 58�In traingle BACangle A = xangle A = 65�+58�+x = 180�( angle sum property)x = 180 - 123x = 57�so , angle A = 57�{ Angle BDC = 57� ( angles in a same segment are equal ) theorem }