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

Answer:

25°

Step-by-step explanation:

the sum of angles in a Δ = 180°

the largest angle = 100°

the second largest  angle = x + 30

the third angle = x

100 + (x +30) + x = 180

100 + x + 30 + x = 180

130 + 2x = 180

2x = 180 - 130

2x = 50

x = 50/2 = 25°

the largest angle = 100°

the second largest  angle = x + 30 =  25 + 30 = 55°

the third angle = x = 25°

100° + 55° + 25° = 180°