Question

find the values of x and y.

x=

y=

Explanation:

Step1: Find the value of \(x\)

Since \(42^{\circ}+12x^{\circ} = 90^{\circ}\) (complementary angles).
Subtract \(42^{\circ}\) from both sides: \(12x=90 - 42\).
So, \(12x = 48\).
Divide both sides by \(12\): \(x=\frac{48}{12}=4\).

Step2: Find the value of \(y\)

Since \(6y^{\circ}=42^{\circ}\) (vertical angles are equal).
Divide both sides by \(6\): \(y=\frac{42}{6}=7\).

Answer:

\(x = 4\)
\(y = 7\)