Question

what is the measure of angle x? 73° a 163° b 34° c 107° d 17°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In the given right - triangle, one angle is 90° and another is 73°. Let the third angle be \(x\).
So, \(x + 73^{\circ}+90^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

We can rewrite the equation as \(x=180^{\circ}-(90^{\circ} + 73^{\circ})\).
First, calculate \(90^{\circ}+73^{\circ}=163^{\circ}\).
Then, \(x = 180^{\circ}-163^{\circ}=17^{\circ}\).

Answer:

D. 17°