Question

2 multiple choice 25 points find the value of x. encuentra el valor de x. triangle with a right angle, one angle 25°, and angle x° options: 155°, 65°, 25°, 90°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). This is a right triangle, so one angle is \(90^\circ\), another is \(25^\circ\), and we need to find \(x\).

Step2: Calculate \(x\)

Using the angle - sum property of a triangle: \(x + 25^\circ+ 90^\circ=180^\circ\).
First, simplify the left - hand side: \(x + 115^\circ=180^\circ\).
Then, solve for \(x\) by subtracting \(115^\circ\) from both sides: \(x=180^\circ - 115^\circ = 65^\circ\).

Answer:

\(65^\circ\) (corresponding to the option with \(65^\circ\))