Triangle $abc$ is isosceles with angle $b$ congruent to angle $c$. the measure of angle $c$ is four times the measure of angle $a$. what is the number of degrees in the measure of angle $b$?

the number of degrees in the measure of angle B is 36 degrees

Step-by-step explanation:

Triangle $ABC$ is isosceles with angle $B$ congruent to angle $C$. This means that angle B is equal to angle C. Let x represent the size of angle B and angle C.

The measure of angle $C$ is four times the measure of angle $A$. This means that angle A = 4x

The sum of the angles in a triangle is 180 degrees. Therefore

x + x + 4x = 180

5x = 180

x = 180/5 = 36

nothjing

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is