Question

10 find the measure of x and y: (5x)° 40° (3y - 1)° x = y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $5x = 40$.

Step2: Solve for x

Divide both sides of the equation $5x = 40$ by 5. We get $x=\frac{40}{5}=8$.

Step3: Use linear - pair property

The angle $(3y - 1)^{\circ}$ and $40^{\circ}$ form a linear - pair, so $(3y - 1)+40 = 180$.

Step4: Simplify the equation

Combine like terms: $3y+39 = 180$.

Step5: Isolate the term with y

Subtract 39 from both sides: $3y=180 - 39=141$.

Step6: Solve for y

Divide both sides by 3: $y=\frac{141}{3}=47$.

Answer:

$x = 8$
$y = 47$