Question

1 multiple choice 25 points find the value of x. encuentra el valor de x. triangle with angles 80°, x°, 50° options: 130°, 80°, 50°, 60°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(80^\circ + 50^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Sum of \(80^\circ\) and \(50^\circ\) is \(80 + 50 = 130^\circ\).

Step3: Solve for \(x\)

Subtract the sum from \(180^\circ\): \(x = 180 - 130 = 50^\circ\)? Wait, no, wait. Wait, 80 + 50 is 130, 180 - 130 is 50? Wait, no, wait the options have 50? Wait, no, wait maybe I miscalculated. Wait, 80 + 50 is 130, 180 - 130 is 50? But let me check again. Wait, the triangle has angles 80, 50, and x. So 80 + 50 + x = 180. So x = 180 - 80 - 50 = 50? Wait, but the options have 50? Wait, but maybe I made a mistake. Wait, no, 80 + 50 is 130, 180 - 130 is 50. So x is 50? Wait, but let me check the options. The options are 130, 80, 50, 60. So 50 is an option. Wait, but maybe I messed up. Wait, no, triangle angle sum is 180. So 80 + 50 + x = 180. So x = 180 - 80 - 50 = 50. So the answer should be 50 degrees. Wait, but let me confirm. Wait, 80 + 50 is 130, 180 - 130 is 50. Yes. So x is 50 degrees.

Answer:

50° (corresponding to the option with 50°)