The Measure of the largest angle of a triangle is 40° more than the measures of the smallest angle, and the measures of the rema ining angle is 20° more than the measure of the smallest angle. Find the measure of each angle.
2 answers:
Answer:
40, 60 and 80 degrees.
Step-by-step explanation:
Let the smallest angle be x degrees. Then:
The 3 angles are x, x + 40 and x + 20.
As there are 180 degrees in a triangle:
x + x + 40 + x + 20 = 180
3x = 180 -40--20 = 120
x = 40 degrees.
The other 2 angles are 60 and 80 degrees.
A = x + 40°, B = x, C = x + 20°
(x + 40°) + x + (x + 20°) = 180°
3x + 60° = 180°
3x = 180° - 60°
3x = 120°
x = 40°
B = 40°
A = 40° + 40° = 80°
C = 40° + 20° = 60°
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