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?

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°