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25 April, 08:18

A navel distress signal flag is in the shape of a triangle. Two of the three angles measure 55 degrees each. What is the measure of the third angle?

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  1. 25 April, 11:54
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    The measure of third angle is 70 degree

    Solution:

    Given that, a navel distress signal flag is in the shape of a triangle

    Two of the three angles measure 55 degrees each

    We know that there are three angles in triangle

    The angle sum property of a triangle states that the angles of a triangle always add up to 180°

    Every triangle has three angles and whether it is an acute, obtuse, or right triangle, the angles sum to 180°

    Let three angles be "A", "B", "C"

    Given that two angles measure 55 degrees each. Let say angle A = angle B = 55

    By angle sum property of triangle,

    Angle A + angle B + angle C = 180 degree

    55 + 55 + angle C = 180

    110 + angle C = 180

    angle C = 180 - 110 = 70 degree

    Thus the measure of third angle is 70 degree
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