Question

find the measure of the missing angle. answer attempt 1 out of 2 a =

Explanation:

Step1: Recall angle - sum property

The sum of angles in a right - angled triangle (or in the intersection of lines where one angle is 90°) is 180°.

Step2: Set up the equation

Let the missing angle be \(a\). We know one angle is 90° and another is 55°. So, \(a + 90^{\circ}+55^{\circ}=180^{\circ}\).

Step3: Solve for \(a\)

\(a=180^{\circ}-(90^{\circ} + 55^{\circ})\)
\(a = 180^{\circ}-145^{\circ}\)
\(a = 35^{\circ}\)

Answer:

\(35^{\circ}\)