Question

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

Explanation:

Step1: Find the value of \(x\)

Since \(x\) and \(34^{\circ}\) are complementary angles (they form a right - angle together), we use the formula \(x + 34^{\circ}=90^{\circ}\).

$$x=90^{\circ}-34^{\circ}$$

$$x = 56^{\circ}$$

Step2: Find the value of \(y\)

Since \(y\) and \(x\) are supplementary angles (they form a straight - angle together), we use the formula \(y+x = 180^{\circ}\). Substitute \(x = 56^{\circ}\) into the formula:

$$y=180^{\circ}-x$$

$$y=180^{\circ}-56^{\circ}$$

$$y = 124^{\circ}$$

Answer:

\(x = 56\), \(y = 124\)