Question

level 1: find the measures of x and y variable y x measure

Explanation:

Step1: Analyze first - angle relationship

Since the right - angle is 90°, for the first figure with a 45° angle and angle x, we know that the sum of angles in a right - angle is 90°. So, $x + 45^{\circ}=90^{\circ}$.

Step2: Solve for x

Subtract 45° from both sides of the equation: $x=90^{\circ}-45^{\circ}=45^{\circ}$.

Step3: Analyze second - angle relationship

For the second figure with a 72° angle and angle y, and a right - angle (90°), we know that $y + 72^{\circ}=90^{\circ}$.

Step4: Solve for y

Subtract 72° from both sides of the equation: $y=90^{\circ}-72^{\circ}=18^{\circ}$.

Answer:

x: 45°
y: 18°