Question

ABCD is a cyclic quadrilatera. lf angle DBC=80°,angle BAC=40°,find angle BCD​

Answer 1

Given that,

Angle dbc = 80

Angle bac = 40

We know that,

Angle in the same segment is equal.

So, $\angle dac=\angle dbc$

We need to calculate the angle bad

Using given data

$\angle bad=\angle bac+\angle dac$

Put the value into the formula

$\angle bad=40+80$

$\angle bad=120$

We need to calculate the value of angle bcd

According to figure,

$\angle bcd+\angle bad=180$

Put the value into the formula

$\angle bcd=180-120$

$\angle bcd=60$

Hence, The value of angle bcd is 60°.