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17 September, 10:18

The angles of a triangle add up to 180 degrees. The second angle is 12 degrees larger than the smallest angle. The third angle is 2 times as big as the smallest angle. Find the measure of the smallest angle (in degrees)

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  1. 17 September, 10:50
    0
    Let x = smallest angle

    Let x + 12 = second angle

    Let 2 (x + 12) = third angle

    Here is the set up:

    x + x + 12 + 2 (x + 12) = 180°

    Take it from here.
  2. 17 September, 14:03
    0
    42°

    Step-by-step explanation:

    Sum of angle ABC = 180 degrees

    if angle A = 1st angle

    angle B = 2nd Angle

    angle C = 3rd angle

    (we are told angle b =, second angle is 12 degrees larger, 3rd angle 2 times bigger) so angle A is therefore the smallest angle

    so our equation becomes

    angle A + B + C = 180 degrees

    angle (A + (12+A) + 2A) = 180 degrees

    (we open brackets)

    12 + A + A + 2A = 180 °

    12 + 4A = 180°

    4A = 180° - 12

    4A = 168

    A = 168/4

    A = 42°

    So the smallest angle A is 42°

    (To see if it checks out

    angle B = 12 + 42 = 54, angle C = 2*42 = 84, so

    42° + 54° + 84° = 180°)
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