Question

find the values of x and y in the figures given below

Answer 1

in first x=75 and y=75
because 2 sides of triangle is equal therefore it is isosceles triangle and corresponding angle must be same for it.

in second x= 70° and y=95°
the sum of opposite sides of cyclic quadrilateral is always 180°

in third x= 90° and y=40°
as the sum of triangle is always 180°.
and the second hint shown in daigram is triangle is in semicircle and the value of semicircle is 180°.

Answer 2

1) by angle sum property:

30 + x + x = 180

2x= 180 - 30

x= 150/2

x= 75

2) x + 110 = 180

x = 180 - 110

x = 70

Similary, y = 95

3) x = 90

By triangle sum property

90 + 50 + y = 180

y = 180 - 140

y = 40