Question

find the measure of the missing angles.
answer
attempt 1 out of 3
$x = square^{circ}$ $y = square^{circ}$
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Explanation:

Step1: Find the value of \(x\)

Since \(x + 68^{\circ}=90^{\circ}\) (complementary angles), then \(x = 90^{\circ}-68^{\circ}\).

$$x = 22^{\circ}$$

Step2: Find the value of \(y\)

We know that \(y + 90^{\circ}+x=180^{\circ}\) (straight - line angle is \(180^{\circ}\)). Substitute \(x = 22^{\circ}\) into the equation: \(y+90^{\circ}+22^{\circ}=180^{\circ}\).

$$y=180^{\circ}-90^{\circ}-22^{\circ}=68^{\circ}$$

Answer:

\(x = 22^{\circ}\), \(y = 68^{\circ}\)