Question

find the unknown angles

Answer 1

Since ABCD is a cyclic quadrilateral

<ADC + <ABC = 180°

=> x +65 + 100 = 180

=> x = 15°


Now,

x = y because they are angles in same segment

y = 15°


Hope it will help you...... ☺

Answer 2

y is 15°
x is 15°
reason:
angle ACB = angle ADB = 65° _ angles in same segment are equal
therefore in ∆ACB,
by angle sum property,
y + 100° + 65° = 180°
therefore y = 15°
angle x = angle y _ angles in same segment are equal
therefore angle x = 15°