Question

Angle a= 7x + 40°

Answer 1

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

7*x+40-(3*x+112)=0

Step by step solution :

STEP
1
:
Pulling out like terms

1.1 Pull out like factors :

4x - 72 = 4 • (x - 18)

Equation at the end of step
1
:

STEP
2
:

Equations which are never true:

2.1 Solve : 4 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2 Solve : x-18 = 0

Add 18 to both sides of the equation :
x = 18

One solution was found :
x = 18

Answer 2

Answer:

$x = 18$

$\angle A = 166$

Step-by-step explanation:

The question is properly presented in the attachment.

Given

$\angle A = 7x + 40$

$\angle B = 3x + 112$

Required

Solve for x and  $\angle A$

From the attachment $\angle A$ and $\angle B$ are vertically opposite.

This means that:

$\angle A$ = $\angle B$

Substitute values for $\angle A$ and $\angle B$

$7x + 40 = 3x + 112$

Collect Like Terms

$7x -3x = 112 - 40$

$4x = 72$

Make x the subject

$x = \frac{72}{4}$

$x = 18$

Substitute 18 for x in $\angle A = 7x + 40$

$\angle A = 7 * 18 + 40$

$\angle A = 166$