Question

Find The value of x, y and z​

Answer 1

x = 18 ; y = 10 ; z = 102°

Explanation:

The triangle in the pic is an isosceles triangle.

As it is an isosceles triangle , it's two sides will be equal .

`= > 3x - 42 = 12`

`= > 3x = 42 + 12 = 54`

`= > x = (54)/(3) = 18`

Also, both the base angles will be equal.

`4y - 1 = 39`

`= > 4y = 39 + 1 = 40`

`= > y = (40)/(4) = 10`

According to angle sum property of a triangle , sum of measure of all the angles of a triangle is equal to 180°. So,

`z + 39 + 39 = 180`

`= > z + 78 = 180`

`= > z = 180 - 78 = 102`