Question

The base angles of an isosceles triangle are

congruent. If the measure of each of the base
angles is twice the measure of the third angle,
find the measure of all three angles.

Answer 1

base angles each measure 68 degrees

third angle measures 34 degrees

Explanation:

let '2x' = measure of each base angle

let 'x' = measure of third angle

the sum of all three must equal 180 degrees so you can write this equation:

2x + 2x + x = 180

combine 'like terms' to get:

5x = 180

divide each side by 5 to get:

x = 34

therefore, twice 'x' is 68

check:

68 + 68 + 34 = 180

180 = 180