SOLUTION: In isosceles ABC, B is the vertex. The measure of B can be represented as (8x-6). The measure of A can be represented as (3x+2). Find the measure of all three angles of the triangl

Algebra ->  Triangles -> SOLUTION: In isosceles ABC, B is the vertex. The measure of B can be represented as (8x-6). The measure of A can be represented as (3x+2). Find the measure of all three angles of the triangl      Log On


   

Question 237386: In isosceles ABC, B is the vertex. The measure of B can be represented as (8x-6). The measure of A can be represented as (3x+2). Find the measure of all three angles of the triangle
Answer by solver91311(24713) About Me  (Show Source):
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I presume that you mean B to be the angle that is different in measure from the other two angles in the isosceles triangle. The word vertex is used incorrectly in this context. All triangles, regardless of their configuration have three vertices. In an isosceles triangle, two of the vertices have angles that are equal in measure.

Given a correct assumption on my part, if B is the unequal angle, then angle A must be congruent to angle C, hence their measures are equal. Therefore if angle A measures then angle C must measure also.

We know that the sum of the measures of the interior angles of a triangle is 180 degrees or radians.

So we can say:



From which you can calculate:

degrees.

and

degrees.

Check:



or







From which you can calculate

radians

and

radians

Check:



John