Question

(d) problem 20: (first taught in lesson 50) find y. after you enter your answer press go. y =

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

The sum of the interior angles of a quadrilateral is \(360^{\circ}\).

Step2: Calculate the adjacent angle of \(85^{\circ}\)

The adjacent angle of \(85^{\circ}\) is \(180 - 85=95^{\circ}\) (linear - pair of angles).

Step3: Set up the equation for the sum of angles

Let \(y\) be the unknown angle. Then \(y + 95+127 + 62=360\).

Step4: Simplify the left - hand side of the equation

\(y+(95 + 127+62)=y + 284\).

Step5: Solve for \(y\)

\(y=360 - 284\).

Answer:

\(76\)