Math : Geometry question.?

Question

In isosceles triangle ABC, B is the vertex. The measure of <B can be represented as (8x+2). The measure of <A can be represented as (9x-2). Find the measure of all three angles of the triangle. Be sure to name the angle with it's measurement.

Answer 1

&lt;B = 58

&lt;A = 61

&lt;C = 61

Answer 2

The triangle is isosceles. Since B is the vertex,A and C are equal.

The sum of the three angles must equal 180 degrees. So...

(9x-2) + (9x-2) + (8x+2) = 180

26x - 2 = 180

26x = 182

x = 7

Therefore... A = 61 = C

And... B = 58

Answer 3

first draw an isosceles triangle. (two sides same length, one side shorter. kinda like a V, if it was a triangle..)

next label the corners.

B is the unique corner

measure of angle A = 9x-2.

measure of angle B = 8x+2.

measure of angle C = 9x-2.

3 angles of a triangle add up to 180 degrees.

A + B + C = 180

(9x-2) + (8x+2) + (9x-2) = 180

find what x is using algebra.

x = 7.

plug in x = 7 for the following:

measure of A = 9x - 2

A = 61

measure of B = 8x +2

B = 58

measure of C = 9x-2

C = 61