if one angle of the triangle is 55° and the other two angle are the ratio of 2:3 find the other two angle.
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Answers
2+3=5
55÷5 = 11
11×2=22°
11×3=33°
the measure of other two angles are 22° and 33°
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Explanation:
angle b = 55° (given)
other two angles are in ratio 2:3 (given)
By angle sum property __
angle A + angle B + angle C = 180°
55° + angle B + angle C = 180°
angle B + angle C = 180° - 55°
angle B + angle C = 125°
Let, the other two angles be 2x and 3x
2x + 3x = 125°
5x = 125°
x = 25/5
x = 25
angle B = 2x = 2×25 = 50°
angle C = 3x = 3×25 = 75°
ans. The measure of other two angles is 50° and 75°