Question

1. find the measure of y.

110° z° y° 100° 87°
8°
110°
100°
107°

Explanation:

Step1: Find the value of z

The sum of a linear - pair of angles is 180°. So, $z = 180 - 110=70^{\circ}$

Step2: Use the angle - sum property of a quadrilateral

The sum of the interior angles of a quadrilateral is 360°. Let the four angles of the quadrilateral be $y$, 100°, 87°, and $z = 70^{\circ}$. Then $y+100 + 87+70=360$.

Step3: Solve for y

$y=360-(100 + 87+70)=360 - 257 = 103^{\circ}$

Answer:

103°