Question

challenge #4
find the value of the variables
*remember - quadrilaterals add up to 360 degrees.
*use the sketching tool!

Explanation:

Step1: Find the value of \(x\)

Use the property that the exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
\(x = 25^{\circ}+20^{\circ}\)

Step2: Calculate \(x\)

\(x = 45^{\circ}\)

Step3: Find the value of \(y\)

Since the sum of angles in a triangle is \(180^{\circ}\), and we know one angle is \(90^{\circ}\) (right angle) and another is \(20^{\circ}\) (from the exterior - interior relation for \(x\)).
\(y=180^{\circ}-90^{\circ}-20^{\circ}\)

Step4: Calculate \(y\)

\(y = 70^{\circ}\)

Answer:

\(x = 45^{\circ}\), \(y = 70^{\circ}\)