One angle of an isosceles triangle is three times the measure of each of the other two angles. Find the measures of the angles.

Question

One angle of an isosceles triangle is three times the
measure of each of the other two angles. Find the
measures of the angles.

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Nem 4 years 2021-07-18T12:01:15+00:00 2 Answers 18 views 0

Answers ( )

  1. thuthuy
    0
    2021-07-18T12:02:30+00:00
    Reply

    Answer:

    36°, 36°, 108°

    Step-by-step explanation:

    let the 2 congruent base angles of the isosceles triangle be x

    Then the vertex angle is 3x

    Sum the angles and equate to 180 ( angle sum of triangle )

    x + x + 3x = 180

    5x = 180 ( divide both sides by 5 )

    x = 36 , then

    3x = 3 × 36 = 108

    The angles are 36°, 36° and 108°

  2. quangkhai
    0
    2021-07-18T12:02:41+00:00
    Reply

    Answer: largest angle: 108°, smallest angle: 36°

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