Question

Solve for x.

Answer 1

Explanation -:

In this question we are provided with the two angles that is 8x - 3 and 4x + 3 respectively. It is also given that the sum of this two angles is 180°.

To solve this question we will combine the like terms and there sum must be 180°.

$\small\sf{ 8x - 3 + 4x + 3 = 180°}$

$\bull \: \small\sf{ We \: will \: cancel \: 3 \: because \: they \: are \: of \: opposite \: signs }$

$\small\rm 8x + 4x = 180 \degree$

$\bull \: \small\sf{Addition}$

$\small\rm{ 12x = 180 \degree}$

$\bull \: \small\sf{ Divide\: both \: side \: by \: 12}$

$\small\rm{ \dfrac{12x}{12} = \dfrac{180}{12} \: = 15 \degree}$

$\small \underline{ \boxed{\sf{x = 15} }}$

$\rule{71mm}{4pt}$

Answer 2

Answer:

Step-by-step explanation:

Remark

They are asking you to combine like terms. The total should be 180.

Givens

2 angles

• 8x - 3
• 4x + 3

Total 180

Solution

8x - 3 + 4x + 3 = 180        The threes cancel. So add what's left. They are of opposite signs, so they cancel.

12x = 180                           Divide both sides by 12

12x/12 = 180 /12                        

x = 15