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?

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Answer 1 · 2018-04-08T05:56:51

#/_A = 73^circ,quad /_B = 34^circ, /_C = 73^circ#

In an isosceles triangle with #/_B# as the vertex, we have #/_A = /_C#.

Thus
#/_B = 4x-2,qquad /_A = /_C = 8x+1#

Since #/_A+/_B+/_C = 180^circ#, we have

#4x-2+2(8x+1)=180^circ implies#

# 20x = 180^circ implies x = 9^circ#

Thus the angkes are

#/_A = 73^circ,quad /_B = 34^circ, /_C = 73^circ#