Question

1. round to the nearest tenth, if necessary. find the value of the missing sides. what is the m<y?

Explanation:

Step1: Recall triangle angle sum

In a triangle, the sum of angles is \(180^\circ\). This is a right - triangle (one angle is \(90^\circ\)) and another angle is \(51^\circ\). Let \(m\angle Y=\theta\).
We know that \(\theta + 90^\circ+ 51^\circ=180^\circ\).

Step2: Solve for \(m\angle Y\)

First, simplify the left - hand side of the equation: \(\theta+141^\circ = 180^\circ\).
Then, subtract \(141^\circ\) from both sides: \(\theta=180^\circ - 141^\circ\).
\(\theta = 39^\circ\).

Answer:

\(39^\circ\)