geometry!!!?

123.: geometry!!!?
In isosceles triangle (triangle ABC), B is the vertex. The measure of angle B can be represented as (8x+2). The measure of angle A can be represented as (9x-2). Find the measure of all three angles of the triangle.

(thank youuuuu!!!!!)

Answers and Views:

Answer by Shivam R
angle A=C=9x-2,angle B=8x+2

A+B+C=180
9x-2+9x-2+8x+2=180
x=7
A=61=C,B=58

Answer by Geommm
since ABC is an isosceles triangle with vertex B, angles A and C are congruent/equal.

Also we know that the sum of all the interior angles of a triangle equal 180.

so: angle A + angle B + angle C = 180

and as said, angle A = angle C

so, if we substitute with the given values,

(9x-2) + (8x+2) + (9x-2) = 180
26x – 2 = 180
26x = 182
x = 7

then substitute again 7.

so,
A = C
= 9x – 2
= 9(7) – 2
= 63 – 2
= 61

and
B
= 8x + 2
= 8(7) + 2
= 56 + 2
= 58

therefore the measures of A, B and C are 61, 58, 61 respectively. 🙂

goodluck!