Question

. Find the values of x and y in the figures given below.
​

Answer 1

Answer:

Step-by-step explanation:

i)in the given figure the sides opposite to given angles x,y are equal from this we an conclude that x=y equation  1

now use sum of angles in a triangle is = 180 degrees

given one angle is 30 degrees

so 30+x+y = 180 equation 2

from 1 we get

30+2x=180

2x=150

x=75 degrees hence x=y=75 degrees

ii) given is a cyclic quadrilateral so

opposite side angles sum =180 degrees

from figure we an say that opposite angles  x+110=180 and y+85=180

by solving them we get x=7,y=95

i hope its helpfull