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    A triangle has angles A=50∘,B=60∘A=50^∘,B=60^∘A=50∘,B=60∘​, and side AB=10 cm. Find the third angle ?
    Question

    A triangle has angles A=50,B=60A=50^∘,B=60^∘​, and side AB=10 cm. Find the third angle ?

    A.

    50050^0​​

    B.

    60060^0​​

    C.

    700^0​​

    D.

    Cannot be determined

    Correct option is C

    Given
    Angle A = 5050^\circ​​
    Angle B = 6060^\circ​​
    Side AB = 10 cm

    Formula Used
    Sum of angles in a triangle = 180180^\circ​​

    Solution
    The vertices of the triangle are A, B, and C.
    Angle C=180(Angle A+Angle B)Angle C=180(50+60)Angle C=180110=70Angle \ C = 180^\circ - (\text{Angle A} + \text{Angle B}) \\Angle \ C = 180^\circ - (50^\circ + 60^\circ)\\Angle\ C = 180^\circ - 110^\circ = 70^\circ​​
    Thus, the third angle is Angle C = 70070^0​​

    Final Answer
    So the correct answer is (c)

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