Question

Need help fast please

Answer 1

80 degree +(6x-6)+(7+3x)=180degree
80 degree +9x+1=180 degree
81 degree + 9x = 180 degree
9x=180 degree -81 degree
9x=99 degree
x= 11 degree


For 7+3x
7+3x11
7+33
=40
So that the measure of

Answer 2

`\large\boxed{\tt m \angle A = 40^(\circ).}`

Explanation:

`\textsf{We are asked to identify} \ \tt m \angle A. \ \textsf{We are given a diagram which tells us the shape}`

`\textsf{is a Triangle.}`

`\large\underline{\textsf{What is a Triangle?}}`

`\textsf{A Triangle is a 2D Shape that has 3 sides and 3 angles. We know this since}`

`\textsf{Triangle begins with`

`\textsf{angles. The Sum of the 3 angles is equal to 180}^(\circ). \ \textsf{This means that Triangle can}`

`\textsf{have many unique differences with its angles, making it an entirely different}`

`\textsf{Triangle.}`

`\textsf{We know that the angles' measures add up to 180}^(\circ). \ \textsf{We can now form an equation.}`

`\tt 180^(\circ) = m \angle A + m \angle B + m \angle C`

`\underline{\textsf{Substitute what's given;}}`

`\tt 180^(\circ) = 80^(\circ) + 7 + 3x + 6x - 6.`

`\large\underline{\textsf{Solving;}}`

`\textsf{We identified our equation, now we are ready to solve for x. Remember that x}`

`\textsf{isn't given to us, which means that we have to identify x, then substitute the}`

`\textsf{value in to find m} \tt \angle A.`

`\underline{\textsf{Combine All Like Terms;}}`

`\tt 180^(\circ) = \boxed{\tt 80^(\circ)} + \boxed{\tt 7} + 3x + 6x \boxed{\tt- 6}`

`\tt 180^(\circ) = 81^(\circ) + \boxed{\tt 3x} + \boxed{\tt6x}`

`\tt 180^(\circ) = 81^(\circ) + 9x`

`\textsf{Now, let's use the Subtraction Property of Equality which states that whenever}`

`\textsf{2 equal expressions are subtracted by the same term, they're still equal.}`

`\underline{\textsf{Subtract 81 from both sides using the Subtraction Property of Equality;}}`

`\tt 180^(\circ) - 81^(\circ) = 81^(\circ) - 81^(\circ)+ 9x`

`\tt 99^(\circ) = 9x`

`\textsf{Let's now use the Division Property of Equality, but for dividing by the same term.}`

`\underline{\textsf{Divide 9 from both sides using the Division Property of Equality;}}`

`\tt (99^(\circ))/(9) = (9x)/(9)`

`\large\boxed{\tt x = 11}`

`\textsf{Now that we know the value of x, we are able to find m} \tt \angle A.`

`\underline{\textsf{Substitute;}}`

`\tt m \angle A = 7+3(11)`

`\underline{\textsf{Evaluate;}}`

`\large\boxed{\tt m \angle A = 40^(\circ).}`