Question

This shows a diagram.


What is the value of x?

Answer 1

Explanation:

`(3x + 2) + x = 180 \\ 3x + x = 180 - 2 \\ 4x = 178 \\ x = 44.5`

Answer 2

x° = 44.5°

Explanation:

x° and (3x + 2)° are supplementary angles, which means they add up to 180°.

Equation: x + 3x + 2 = 180

Step 1: Combine like terms.

`\implies 4x + 2 = 180`

Step 2: Subtract 2 from both sides.

`\implies 4x + 2 - 2 = 180 - 2`

`\implies 4x = 178`

Step 3: Divide both sides by 4.

`\implies (4x)/(4)=(178)/(4)`

`\implies x = 44.5`

Step 4: Substitute 44.5 as the value of x in (3x + 2) to find its measure.

`\implies 3(44.5)+2`

`\implies 135.5`

Therefore, the measure of x° is 44.5°, and the measure of (3x + 2)° is 135.5°. Together, they add up to 180°.