Question

The measures of the angles of △ABC are given by the expressions in the table.

Angle Measure
A ​(6x−1)°​
B 20°
C (x + 14)°
What are the measures of angles A and C?

Answer 1

Angle A = 125°

Angle C = 35°

Explanation:

This is the equation you would have to solve:

Angle A + Angle B + Angle C = 180°

Fill in the values given:

(6x-1)° + 20° + (x+14)° = 180°

The parentheses don't really matter here. Go on to combine like terms. This gives you:

7x + 33 = 180°

Solve for x. Subtract 33 on both sides. This gives 7x = 147. Divide both sides by 7. This gives x = 21.

Now, go back and fill in 21 for x in the expressions for angles A & C.

Angle A:

6(21) - 1 = 125°

Angle C:

21 + 14 = 35°

You can check your answers using the first equation I mentioned:

Angle A + Angle B + Angle C = 180°

125° + 20° + 35° = 180°

This is a true equation. Therefore, the final answers are:

Angle A = 125°

Angle B = 20°

Angle C = 35°

Answer 2

First You add all given angles up to equal 180 to give you x then you plug x into equations

Explanation:

A= 125 degrees

C= 35 degrees