Question

find the value of each variable.
(there is a quadrilateral with angles y°, 94°, 82°, z° and an exterior angle of 118° adjacent to z°)
y =
z =

Explanation:

Step1: Find z (supplementary angles)

Supplementary angles sum to \(180^\circ\). So \(z + 118^\circ = 180^\circ\).
\(z = 180^\circ - 118^\circ = 62^\circ\)

Step2: Find y (sum of quadrilateral angles)

Sum of interior angles of a quadrilateral is \(360^\circ\). Let's denote the angles as \(y\), \(94^\circ\), \(82^\circ\), and \(z = 62^\circ\).
So \(y + 94^\circ + 82^\circ + 62^\circ = 360^\circ\).
First, sum the known angles: \(94 + 82 + 62 = 238\).
Then \(y = 360 - 238 = 122^\circ\)

Answer:

\(y = 122\), \(z = 62\)