Question

2 mark for review
q
146°
17°
note: figure not drawn to scale.
in the triangle shown, pq = qr. what is the value of x?
163
73
34
17

Explanation:

Step1: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \(17^{\circ}+146^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Simplify the equation

First, add \(17^{\circ}\) and \(146^{\circ}\): \(17 + 146=163\). Then the equation becomes \(163^{\circ}+x^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(163^{\circ}\) from both sides: \(x = 180 - 163\).

Answer:

\(17\) (Option D)