An exterior angle of a triangle has a measure of 130 degree. The remote interior angles in the ratio of 2:3. Find the measure of the l

Question

An exterior angle of a triangle has a measure of 130 degree. The remote
interior angles in the ratio of 2:3. Find the measure of the largest angle of
the triangle.

in progress 0
Thu Nguyệt 3 years 2021-08-20T09:02:48+00:00 1 Answers 11 views 0

Answers ( )

  1. taiduc
    0
    2021-08-20T09:04:15+00:00
    Reply

    Answer:

    • 78°

    Step-by-step explanation:

    The exterior angle measure is same as he sum of remote interior angles and the adjacent interior angle make straight angle with the exterior angle

    So the adjacent angle is:

    • 180 – 130 = 50°

    The other angles are 2x and 3x as per ratio:

    • 2x + 3x = 130
    • 5x = 130
    • x = 130/5
    • x = 26

    And

    • 2x =2*26 = 52°
    • 3x = 2*26 = 78°

    So the angles are:

    • 50°, 52°, 78°

    The largest angle is 78°

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )