wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the figure, given below, AD = BC, BAC=30 and CBD=70. Find: ABC



Open in App
Solution

In the figure, ABCD is a cyclic quadrilateral AC and BD are its diagonals BAC=30 and CBD=70

CAD= CBD=70

Similarly BAC= BDC=30

AD = BC (given)

ABCD is an isosceles trapezium

and AB || DC

BAC= DCA (alternate angle)

DCA=30

ABD=DAC=30

(Angles in the same segment)

ABC= ABD+ CBD=30+70=100


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Quadrilaterals - Theorem 9
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon