Discussion
The measure of two angles of a triangle are in the ratio 2:3. The third angle is 70°. Find the smallest angle of the triangle.
Answer: C
The sum of angles in a triangle is 180°. The sum of the two unknown angles is 180° - 70° = 110°.
Let the angles be 2x and 3x.
2x + 3x = 110°
5x = 110°
x = 22°.
The angles are 2x = 2(22) = 44° and 3x = 3(22) = 66°. The smallest angle of the triangle is 44°.
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