Question

in an isosceles triangle if the vertical angle is 80 degree then find the measures of equal angles

Answer 1

Answer:

50° each

Step-by-step explanation:

Refer to the diagram

Given;

Vertical Angle= 80

As we know that in an isosceles , the lenght of two sides are equal.

Considering: x+y=k

Therefore,

k+80°=180°

(Because sum of angles if a is always equals to 180°)

k+80°=180°

k = 180°-80°

k. = 100°

As said, k=x+y and x'y are equal

Therefore k/2 =x =y

100/2= x

50 =x=y

Therefore angle x and y equals to 50°