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Class 9 Question
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?
Related Test
Test: Properties of Equal Chords
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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 }
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to Johan Joseph
Answer this doubt
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 }
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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 }
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