Question

let a equal the measure of angle a. the equation 360° = a + 90° + 135° + 75° represents the sum of the angles in the quadrilateral. find the missing angle measure by solving the equation.

Explanation:

Step1: Calculate the sum of known angles

$$90^{\circ}+135^{\circ}+75^{\circ}=300^{\circ}$$

Step2: Solve for \(a\)

Given \(360^{\circ}=a + 300^{\circ}\), then \(a=360^{\circ}-300^{\circ}\)

Answer:

\(60^{\circ}\)