Question

8 find the measure of x and y: (3x - 3)° (4y + 4)° 60° x = y=

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $3x - 3=60$.

Step2: Solve for x

Add 3 to both sides of the equation $3x - 3=60$: $3x=60 + 3=63$. Then divide both sides by 3: $x=\frac{63}{3}=21$.

Step3: Use linear - pair property

The angle $(4y + 4)^{\circ}$ and $60^{\circ}$ form a linear - pair, so $(4y + 4)+60 = 180$.

Step4: Solve for y

First, simplify the left - hand side: $4y+64 = 180$. Then subtract 64 from both sides: $4y=180 - 64 = 116$. Divide both sides by 4: $y=\frac{116}{4}=29$.

Answer:

$x = 21$
$y = 29$