AB is a diameter of a circle and ABCD is a
cyclic quadrilateral in that. If ACD = 40°,
then measurement of BAD
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Answer:
140°
Step-by-step explanation:
A. B
D C
Is cyclic quadrilateral
then ,
measure of angle ACD + measure of angle BAD =180. ........( BY theorem of cyclic quadrilateral)
40°+BAD =180°
BAD =180°-40°
BAD =140°
Answered by
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The measurement of BAD=
Step-by-step explanation:
Angle ACD=40 degrees
AB is a diameter of circle
Angle subtended by half circle at the circumference of circle is equal to 90 degrees
Therefore, angle ACB=90 degree
Angle BCD=Angle ACB+angle ACD=40+90=130 degrees
We know that in cyclic quadrilateral
Sum of opposite angles of cyclic quadrilateral=180 degrees
By using this property
Angle BAD+angle BCD=180 degrees
Substitute the values
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