Question

1. triangle with angles 130°, 25°, and ? o. find the measure of each angle indicated.

Explanation:

Step1: Recall triangle angle sum property

The sum of the interior angles of a triangle is \(180^\circ\). Let the unknown angle be \(x\). So, \(x + 130^\circ+ 25^\circ= 180^\circ\).

Step2: Solve for \(x\)

First, add the known angles: \(130^\circ + 25^\circ= 155^\circ\). Then, subtract this sum from \(180^\circ\): \(x = 180^\circ - 155^\circ\).

Answer:

\(25^\circ\) (Wait, correction: Wait, 180 - 155 is 25? Wait no, 130 +25 is 155, 180 -155 is 25? Wait the triangle has angles 130, 25, and x. So 130 +25 +x = 180. So x = 180 - 130 -25 = 25? Wait, but let's check again. 130 +25 is 155, 180 -155 is 25. So the unknown angle is \(25^\circ\)? Wait, but the triangle looks isoceles? Wait maybe I miscalculated. Wait 180 - 130 -25 = 25. Yes. So the measure of the unknown angle is \(25^\circ\). Wait, no, wait 130 +25 is 155, 180 -155 is 25. So the answer is \(25^\circ\). Wait, but let me confirm the triangle angle sum. The sum of angles in a triangle is always 180 degrees. So if two angles are 130 and 25, the third is 180 - 130 -25 = 25. So the unknown angle is \(25^\circ\).