Angle dbc measures 5 degrees less than angle c and angle d measures 8 degrees more than angle c. what are the measures of each angle of the triangle?

The measure of angle b (angle dbc) is

The measure of angle c is

The measure of angle d is

Step-by-step explanation:

Let

x-----> measure of angle b (angle dbc)

y----> measure of angle c

z----> measure of angle d

Remember that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

-----> equation A

-----> equation B

----> equation C

Substitute equation B and equation C in equation A and solve for y

Find the value of x

Find the value of z

The measures of each angle of the triangle are

The measure of angle b (angle dbc) is

The measure of angle c is

The measure of angle d is

5

step-by-step explanation: