Question

find the values of X and Y in the following figure ​

Answer 1

Step-by-step explanation:

In the figure,

angle ACD + angle ACB = 180°(Angles in a straight line)

115°+angle ACB = 180°

angle ACB = 180°-115°

angle ACB = 65

In a isosceles triangle the opposite angles of opposite sides are equal

So, x = angle ACB

x = 65°

We know that,

Sum of angles in a triangle = 180°

y+x+angle ACB = 180°

y+65°+65° = 180°

y+65+65 = 180

y+130 = 180

y = 180-130

y = 50

x= 65°

y = 50°