Question

10 numeric 1 point solve for x. answer

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle to \(165^{\circ}\) is \(180 - 165=15^{\circ}\) (linear - pair angles: \(a + b=180^{\circ}\)).

Step2: Use the triangle - angle sum property

In a right - triangle, the sum of angles is \(180^{\circ}\). Let the right - angle be \(90^{\circ}\), one of the non - right angles be \(15^{\circ}\), and the other non - right angle be \(x\). Then \(x+90 + 15=180\) (triangle - angle sum formula: \(A + B + C=180^{\circ}\)).

$$x=180-(90 + 15)$$

$$x=180 - 105$$

Answer:

\(75\)