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?
1 answer:
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°
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