Question

find the measure of the missing angles.
answer attempt 1 out of 2
$x = square ^ { circ }$ $y = square ^ { circ }$

Explanation:

Step1: Find the value of \(x\)

Since the sum of angles in a right - angle is \(90^{\circ}\), and one angle is \(51^{\circ}\).
We use the formula \(x + 51^{\circ}=90^{\circ}\).
Subtracting \(51^{\circ}\) from both sides gives \(x=90^{\circ}-51^{\circ}\).

$$x = 39^{\circ}$$

Step2: Find the value of \(y\)

We know that \(y\) and \(x + 51^{\circ}\) are supplementary angles (sum to \(180^{\circ}\)).
Since \(x = 39^{\circ}\), then \(x + 51^{\circ}=90^{\circ}\).
Using the formula \(y+(x + 51^{\circ})=180^{\circ}\), substituting \(x + 51^{\circ}=90^{\circ}\) gives \(y=180^{\circ}-90^{\circ}\).

$$y = 90^{\circ}$$

Answer:

\(x = 39^{\circ}\), \(y = 90^{\circ}\)