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Name the angles and their intercepted arcs in the figure below.

Answers

  • Réponse publiée par: abyzwlye

    answer:

    vertex angle is 66°

    step-by-step explanation:

    in an isosceles triangle the two base angles are congruent. the third angle is the vertex angle. in any triangle the sum of the three angles will be 180°.

    let v = the vertex angle

    let b = each of the base angles

    v + b + b = 180°

    v = b + 9 (the vertex angle of an isosceles triangle is 9 degrees more than a base angle)

    substitute b + 9 for v, in the equation v + b + b = 180°

    (b + 9) + b + b = 180° combine like terms to simplify

    3b + 9 = 180° subtract 9 from both sides

    3b = 171° divide both sides by 3

    b = 57°

    v = b + 9° => v = 57° + 9° = 66°

    check: 57° + 57° + 66° = 180°

  • Réponse publiée par: janalynmae
    Yes it is they all are composite numbers
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Name the angles and their intercepted arcs in the figure below....