Question

Find the value of x and y and please show all work.

Answer 1

Answer:

X = 66°  Y = 48°

Step-by-step explanation:

Given figure is an isosceles triangle,

Property of isosceles triangle is that its two sides are equal and angle opposite to equal sides are equal

Now from this figure, angles are given as X° , Y° , 66°

And also X° must be equal to 66°

Now from the property of any triangle, sum of all angles of triangle = 180°

SO, X° + Y° + 66° = 180

      66° + Y° + 66° = 180

      Y°  = 180 - 132°

∴     Y° = 48°

Hence X° = 66° , Y° = 48°       Answer