Question

suppose angle x in the triangle (not drawn to scale) is 7 times the size of
great job!
6b write an equation, in terms of x and y, for the sum of the angles in the triangle.
x + y + 90 = 180
enter your next step here

Explanation:

Step1: Simplify the equation

Subtract 90 from both sides of the equation \(x + y+90 = 180\).
\(x + y+90-90=180 - 90\)

Step2: Get the simplified form

\(x + y=90\)

Since \(x = 7y\) (given that angle \(x\) is 7 times the size of angle \(y\)), substitute \(x = 7y\) into \(x + y=90\).
\(7y+y=90\)

Step3: Combine like - terms

\(8y=90\)

Step4: Solve for \(y\)

Divide both sides by 8. \(y=\frac{90}{8}=\frac{45}{4} = 11.25\)

Step5: Solve for \(x\)

Since \(x = 7y\), then \(x=7\times11.25 = 78.75\)

Answer:

\(x = 78.75\) degrees and \(y = 11.25\) degrees