Question

find the values of x and y.
(4y + 10)°
(3y)°
118°
x°
x =

y = 27

Explanation:

Step1: Use angle - sum property

We know that \(118^{\circ}=x^{\circ}+3y^{\circ}\).

Step2: Since \(y = 27\) (given), substitute \(y\) into the equation

Substitute \(y = 27\) into \(118=x + 3y\). So \(118=x+3\times27\).

Step3: Simplify the right - hand side

\(3\times27 = 81\), then the equation becomes \(118=x + 81\).

Step4: Solve for \(x\)

Subtract 81 from both sides: \(x=118 - 81\).
\(x = 37\)

Answer:

\(x = 37\)
\(y = 27\)