Question

Angle a= 7x + 40°

angle b= 3x + 112°
Solve for x then find the meansie if angle a.
Angle A =​

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

`x = 18`

`\angle A = 166`

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 = (72)/(4)`

`x = 18`

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

`\angle A = 7 * 18 + 40`

`\angle A = 166`