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25 May, 02:03

Angle angle B is half the size of angle a the measure of angle C is equal to 1 less than 2 times the measure of angle B the sum of the angle a and angle B is 114 can the three angles form a triangle why or why not

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  1. 25 May, 03:24
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    Answer: No, the angles cannot form a triangle.

    Step-by-step explanation:

    Angle angle B is half the size of angle A. This means that

    A = 2B

    The measure of angle C is equal to 1 less than 2 times the measure of angle B. This means that

    C = 2B - 1

    The sum of the angle A and angle B is 114. This means that

    A+B = 114

    Substituting A = 2B into (A+B = 114), it becomes

    2B + B = 114

    3B = 114

    B = 114/3 = 38 degrees

    A = 114 - 38 = 76

    C = 2B - 1

    C = 2*38 - 1 = 76 - 1

    C = 75

    Recall, sum of angles in a triangle is 180 degrees. This means that

    A + B + C = 180 degrees. T

    Therefore, if we add add angle A, angle B and angle C, it becomes

    76 + 38 + 75 = 189 degrees

    The sum is more than the sum of the angles in a triangle. Therefore, the angles cannot form a triangle.
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