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qwelly [4]
3 years ago
6

Angle a= 7x + 40°

Mathematics
2 answers:
vova2212 [387]3 years ago
8 0
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
egoroff_w [7]3 years ago
4 0

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

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