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28 June, 04:41

Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ∠2 ?

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Answers (2)
  1. 28 June, 04:49
    0
    142° is the measure of angle 2.

    Step-by-step explanation:

    When two lines intersect, they make four angles. The angles facing each other are equal.

    Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.

    The measure of angle 3 = 38 degrees.

    We know that the angle 1 is against angle 3 and is equal to 38.

    Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.

    Now, the sum of all four angles = 360 degrees

    ∠1 + ∠2 + ∠3 + ∠4 = 360°

    38° + x + 38° + x = 360°

    2x = 360° - 76°

    2x = 284°

    x = 142°

    Hence, ∠2 = 142°
  2. 28 June, 04:58
    0
    142° i think
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