Question

In the figure, mZ2 = 3(x+15) and m23 = 24°. Find x.
3
5
6
8

Answer 1

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*(x+15)*23-(24)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

(3 • (x + 15) • 23) - 24 = 0

STEP

2

:

Equation at the end of step 2

69 • (x + 15) - 24 = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

69x + 1011 = 3 • (23x + 337)

Equation at the end of step

4

:

3 • (23x + 337) = 0

STEP

5

:

Equations which are never true

5.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2 Solve : 23x+337 = 0

Subtract 337 from both sides of the equation :

23x = -337

Divide both sides of the equation by 23:

x = -337/23 = -14.652

Explanation: