Question

The largest angle in a triangle is 100 degrees. The second largest angle is 30 degrees larger than the third angle. What is the measurement of the third angle?

Answer 1

The measurement of the third angle is 25°

Step-by-step explanation:

Step 1 :

The sum of the angles in a triangle = 180°

Step 2 :

Given that,

Third angle = x°

Largest angle = 100°

Second largest angle = (x + 30)°

Step 3 :

The sum of the angles of triangle = 100° + (x+30)° + x°

                                                 180° = 130° + 2x

                                                  50°  = 2x

                                                  x    = 50 / 2 = 25°

∴ The measurement of the third angle is 25°