In isosceles triangle ABC, B is the vertex. The measure of angle B can be represented as (4x-2). The measure of angle A can be represented as (8x+1). Find the measure of all three angles of the triangle?

1 Answer
May 16, 2018

m/_A = 73, m/_B = 34, m/_C = 73.

Explanation:

Since DeltaABC is an isosceles triangle, angle A is congruent to angle C.

Knowing this, and the fact that a triangle's angle measures add up to 180, we can state:

4x - 2 + 2(8x + 1) = 180

Now solve for x.

4x - 2 + 16x + 2 = 180

20x = 180

x = 9

Now apply x to the two given angle measures to find the new measurements.

4 * 9 - 2 = 34

8 * 9 + 1 = 73

m/_A = 73, m/_B = 34, m/_C = 73.