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

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