Question

What is the value of x and y?

A. x = 40 , y = 40
B. x = 8, y = 20
C. x = 8 , y = 40
D. x = 40, y = 20

Answer 1

Answer:

C. x = 8 , y = 40

Step-by-step explanation:

since this is an Isosceles triangle 5x = 40° and x = 8

The sum of interior angles in a triangle is equal to 180°

40° + 5x + 2y + 20 = 180° add like terms

5x + 2y = 120

40 + 2y = 120 ➡ 2y = 80 and y = 40

Answer 2

Step-by-step explanation:

AB =AC

Therefore,∆ABC is an isosceles triangle.

angle B= angle C

5x°= 40°

x°= 8°

Now, sum of the interior angles of the triangle= 180°

angle A+angle B+angle C=180

2y+20°+5x+40°=180°

2y+20°+40°+40°=180°

2y+100°=180°

2y=80°

y=40°

option C ,x = 8 ; y= 40°