In right triangle $PQR$, if $P$ is the right angle, $Q$ = $35°$, and $p$ (opposite $P$) = $8$, what is the measure of angle $R$? Round to the nearest degree.

• A. $90°$
• B. $45°$
• C. $35°$
• D. $55°$

Answer: (D)

Verified step by step guidance

1. Identify the given information: triangle PQR is a right triangle with angle P as the right angle (90°), angle Q is 35°, and side p (opposite angle P) is 8 units.
2. Recall that the sum of the angles in any triangle is 180°. Since angle P is 90° and angle Q is 35°, use the formula for the sum of angles: \(\text{angle P} + \text{angle Q} + \text{angle R} = 180^\circ\).
3. Substitute the known angles into the equation: \(90^\circ + 35^\circ + \text{angle R} = 180^\circ\).
4. Solve for angle R by isolating it: \(\text{angle R} = 180^\circ - 90^\circ - 35^\circ\).
5. Calculate the value of angle R to find its measure, then round to the nearest degree as required.