Question

find the missing angle. triangle with right angle at u, angle at v is 51°, options: 29°, 39°, 49°, 59°

Explanation:

Step1: Recall triangle angle sum

A right triangle has one \(90^\circ\) angle, and the sum of angles in a triangle is \(180^\circ\). Let the missing angle be \(x\). So, \(90^\circ + 51^\circ + x = 180^\circ\).

Step2: Solve for \(x\)

Simplify the equation: \(141^\circ + x = 180^\circ\). Subtract \(141^\circ\) from both sides: \(x = 180^\circ - 141^\circ = 39^\circ\).

Answer:

\(39^\circ\) (corresponding to the option with \(39^\circ\))