Question

1. examine the given figure. if angle t measures 45°, what is the measure of the sum of angles u and w? 45° 90° 180° 135°

Explanation:

Step1: Identify vertical - angle relationship

Angle \(t\) and angle \(u\) are vertical angles. So, \(u = 45^{\circ}\).

Step2: Identify right - angle relationship

The angle formed by the intersection of two lines is a right - angle. Angle \(w = 45^{\circ}\) (since the right - angle is divided into two non - overlapping angles by the line forming angle \(t\) and \(u\)).

Step3: Calculate the sum of \(u\) and \(w\)

\(u + w=45^{\circ}+45^{\circ}=90^{\circ}\)

Answer:

\(90^{\circ}\)