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Solve for x (all steps please!)
3x-6
x-2

Solve for x (all steps please!) 3x-6 x-2-example-1

2 Answers

1 vote

Answer:

x = 47

Explanation:

Now we have to,

→ Find the required value of x.

The angles given are,

→ x - 2

→ 3x - 6

We know that,

Sum of angles in a straight line is 180°.

Formula we use,

→ Total sum of angles = 180°

Forming the equation,

→ (x - 2) + (3x - 6) = 180

Then the value of x will be,

→ (x - 2) + (3x - 6) = 180

→ x - 2 + 3x - 6 = 180

→ (x + 3x) + (-2 - 6) = 180

→ (4x) + (-8) = 180

→ 4x - 8 = 180

→ 4x = 180 + 8

→ 4x = 188

→ x = 188 ÷ 4

→ [ x = 47 ]

Hence, the value of x is 47.

User Riet
by
7.7k points
6 votes

Given:-


  • \tt \: 3x - 6


\:


  • \tt \: x - 2


\:

Solution:-

By combining the expression nd setting them equal to 180°


  • \tt \: 3x - 6 + x - 2 = 180


\:


  • \tt \: 3x + x - 6 - 2 = 180


\:


  • \tt \: 4x - 8 = 180


\:


  • \tt \: 4x = 180+ 8


\:


  • \tt \: 4x = 188


\:


  • \tt \: x = \cancel (188)/(4)


\:


  • \underline { \boxed{ \tt \color{hotpink}x = 47}}


\:

━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

User Rweng
by
7.3k points

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