Question

1. find the measure of y.

93°
100°
110°
103°

Explanation:

Step1: Find z (supplementary angles)

Since \(110^\circ\) and \(z^\circ\) are supplementary (form a linear pair), we use \(110 + z = 180\). Solving for \(z\), we get \(z = 180 - 110 = 70^\circ\).

Step2: Sum of quadrilateral angles

The sum of interior angles of a quadrilateral is \(360^\circ\). So, \(y + 100 + 87 + z = 360\). Substitute \(z = 70\): \(y + 100 + 87 + 70 = 360\).

Step3: Solve for y

Simplify the left side: \(y + 257 = 360\). Subtract 257 from both sides: \(y = 360 - 257 = 103^\circ\).

Answer:

\(103^\circ\) (corresponding to the option with 103°)