Question

In the Fig, ABCD is a cyclic quadrilateral in which AC and BD are

its diagonals. If angle DBC = 60° and angle BAC = 30°, find angle BCD.

Answer 1

angle DBC= ANGLE DAC( IN THE SAME SEGMENT)
Angle DAC = 60
DAB = 90
now DAB+DCB= 180( CYCLIC QUADRILATERAL PROPERTY)
90 + DAB = 180
DAB = 90.
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Answer 2

Answer:

The angle is 90

Step-by-step explanation:

angle ANGLE DAC = DBC ( IN THE SAME SEGMENT)

DAC Angle = 60

DAB is now 90. DCB = 90 + DAB = 180 (CYCLIC QUADRILATERAL PROPERTY) DAB = 90.

A 4-sided polygon with 4 finite line segments enclosing it is referred to as a quadrilateral. The Latin words quadri, which means "four," and latus, which means "side," are combined to form the English word "quadrilateral." It is a two-dimensional figure with four vertices and four sides (or edges). All points in a plane that are equally far from a fixed point are located in a circle.

A quadrilateral ABCD is cyclic if all four of its vertices are located on the circle's circumference. In other words, the vertices of a cyclic quadrilateral are formed by joining any four locations on the circumference of a circle. One way to picture it is as a quadrilateral that has all four of its vertices inside of a circle.

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