Question

answer
attempt 1 out of 1
a =

Explanation:

Step1: Recall angle - sum property of a right - angle

A right - angle is 90 degrees. The two non - right angles in the right - angled part of the figure are \(a\) and 42 degrees.

Step2: Set up the equation

The sum of the two non - right angles in a right - angled triangle is 90 degrees. So, \(a + 42^{\circ}=90^{\circ}\).

Step3: Solve for \(a\)

Subtract 42 degrees from both sides of the equation: \(a=90^{\circ}- 42^{\circ}\).
\(a = 48^{\circ}\)

Answer:

\(48^{\circ}\)