Question

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

Explanation:

Step1: Identify triangle type

The triangle is right - angled (has a right angle, \(90^{\circ}\)), so the sum of the other two angles is \(90^{\circ}\) (since the sum of angles in a triangle is \(180^{\circ}\), and \(180 - 90=90\) for the non - right angles).

Step2: Calculate missing angle

Let the missing angle be \(a\). We know one angle is \(69^{\circ}\) and the right angle is \(90^{\circ}\). Using the angle sum property of a right - angled triangle (\(a + 69^{\circ}=90^{\circ}\)), we solve for \(a\): \(a=90^{\circ}- 69^{\circ}\)
\(a = 21^{\circ}\)

Answer:

\(21\)