Question

One angle in an isosceles triangle has a measure of 20

. Find the measure of all other angles in the triangle. List all possible values for these angles. Do not enter the degree sign, just numbers.

Answer 1

the possible answers are 80 and 140

Explanation:

since one angle has a measure of 20 in isosceles triangle let this be vertex angle and other two as base angles then

in isosceles triangle base angles must be equal to each other so

x+x+20 = 180

2x+20 = 180

2x = 160

x=80

so the base angles are equal to 80

now if you suppose 20 as base angle then other base angle should also be 20 since it is an isosceles triangle and the vertex angle can be calculated as

20+20 + x = 180

x = 140