Question

I NEED HELP RIGHT NOW AND CANNOT ASK A TEACHER I AM AT HOME PLEASE HELP 15 POINT IS ALL I HAVE

Answer 1

Explanation:

`\textsf{For this problem, we are asked to create an equation, and to find the measures of each angle.}`

`\textsf{Angle 1 and Angle 2 form a Linear Pair.}`

`\large\underline{\textsf{What is a Linear Pair?}}`

`\textsf{A Linear Pair is 2 Adjacent angles that form a 180 Degree angle.}`

`\textsf{This means that Angle 1 and Angle 2 add up to 180}^(\circ).`

`\large\underline{\textsf{Creating an Equation:}}`

`\textsf{We are given 2 expressions for Angles 1 and 2. Add them together to equal 180}^(\circ).`

`\large\boxed{\mathtt{5x+x-18=180^(\circ)}}`

`\large\underline{\textsf{Solving the Equation:}}`

`\textsf{Solve x by isolating the variable. Let's first add 18 to both sides of the equation.}`

`\mathtt{5x+x=198^(\circ)}`

`\textsf{Because 5x and x are like terms, we can combine them.}`

`\mathtt{6x=198}`

`\textsf{Now, divide each side of the equation by 6 to find x.}`

`\mathtt{(6x)/(6)=(198)/(6) }`

`\large\boxed{\mathtt{x=33^(\circ)}}`

`\large\underline{\textsf{Finding the Measures:}}`

`\textsf{Because we know the value x, we can substitute the known value of x into the expressions given.}`

`\boxed{\mathtt{\angle 1 =5(33)=165^(\circ)}}`

`\boxed{\mathtt{\angle 2=33-18=15^(\circ)}}`