Question

find the measure of the missing angles.
answer attempt 2 out of 2
x = \square^\circ \quad y = \square^\circ

Explanation:

Step1: Find \(x\)

Use the property of complementary angles. \(x + 64^{\circ}=90^{\circ}\)
\(x=90^{\circ}-64^{\circ}\)

Step2: Find \(y\)

Use the property of a full - circle angle (\(360^{\circ}\)). \(y + 90^{\circ}+64^{\circ}+x = 360^{\circ}\), substitute \(x = 26^{\circ}\)
\(y+90^{\circ}+64^{\circ}+26^{\circ}=360^{\circ}\)
\(y+180^{\circ}=360^{\circ}\)
\(y = 360^{\circ}-180^{\circ}\)

Answer:

\(x = 26^{\circ}\), \(y = 180^{\circ}\)