measure of angle B?

Question

In isosceles triangle ABC , angle C is the vertex angle. If angle A=3x-6 and angle C=2x , find the measure of Angle B

24
46
48
66.

Answer 1

2(3x-6) + 2x = 180
6x - 12 + 2x = 180
8x = 192
x =24

So the vertex angle is 2x which is 2*24 = 48 degrees

(180-48)/2 = 66 degrees is measure of angle b

Answer 2

It's an isosceles triangle. if C is the vertex, then A = B.
A = 3x-6, B = 3x - 6, C = 2x and A + B + C = 180
so...
(3x - 6) + (3x - 6) + 2x = 180
8x -12 = 180
8x = 192
x = 24

so B = (3*24) -6 = 66

Test by 66+66+48 = 180

Answer 3

The measure of angle A is identical to the measure of angle B. X= 24, so solve more the measure of angle A now: 3x-6 = 3*24-6 = 66.

Answer 4

In isosceles triangle where C is the vertex angle,
angle A=angle B =3x-6

The sum of all angles of a triangle is always 180
3x-6+3x-6+2x=180
8x=192
x=24

Therefore, angle B=3x-6=3*24-6=66 degrees

Answer 5

A = B = 3x-6
C = 2x
A + B + C = 180
3x-6 + 3x -6 + 2x = 180
8x -12 = 180
2x - 3 = 45
2x = 45 + 3
2x = 48
x = 24

A = B = 3x - 6 = 3(24) - 6 = 72 - 3 = 66
A= 66
B = 66
C = 2(24) = 48

Answer 6

since triangle is isoceles,angl A&angl B are =,ie3x-6
there4 3x-6+3x-6+2x=180
x=24, anglB=3X-6=3*24-6=66

Answer 7

A+B+C = 180 (assuming Cartesian space)
3x-6 + B + 2x = 180

5x + B = 180+6
x + B = 186 / 5 = 37.2
B = 37.2 - x

But A=B (isosceles triangle) so
3x - 6 = 37.2-x
4x = 43.2
x = 10.8°

So angle B is
3(10.8)-6 = 26.4°

Answer 8

66

2x + 3x -6 +3x -6 = 180

8x -12 =180

8x = 192

x = 192/8

x = 24

B = 3x - 6

B = 3 ( 24 ) - 6

B = 72 - 6

B = 66

Answer 9

Use the pathagorean theram.a to the second power + b to the second power = c to the second power.