Question

The angles of a cyclic quadrilaterals are A= (6x +10)° , B=(5x)°C=(x+y )°and D= (3x – y) ° . Find , y and hence all the angles of the cyclic quadrilaterals.​

Answer 1

Answer:

in a cyclic quadrilateral sum of opposite angles are 180 degrees that means total angles are 360 degrees that means

angle A+angle B+ angle C+angle D=360

6x+10+5x+x+y+3x-y=360

15x+15=360

15x=360-15

15x=345

x=345/15

x=23

here +y and -y got cancelled

then A=6(23)+10

138+10=148

B=5(23)=115

C=x+y

we know that angle A= angle C so C=148

also angle B= angle D

angle B=115