Mathematics

Question

∠1 ​ and ∠2 are supplementary.



∠1=3x°∠2=(2x−25)°



Select from the drop down menu to correctly answer the question.


What is the value of x?
A)20
B)32
C)41
D)56
E)61

2 Answer

  • supplementary of two angles whose sum is 180

    so

    ∠1 + ∠2 = 180

    3x + 2x−25 = 180

    5x - 25 = 180

    5x = 180 +25

    5x = 205

    x =205/5

    x =41

    answer is C)41

  • Given that angles 1 and 2 are supplementary angles, the value of x is 41

    The angles are given as:

    ∠1=3x

    ∠2=(2x−25)°

    Supplementary angles add up to 180 degrees.

    So, we have:

    [tex]\angle 1 + \angle 2 = 180[/tex]

    Substitute values for 1 and 2

    [tex]3x + 2x - 25 = 180[/tex]

    Add 25 to both sides

    [tex]3x + 2x = 205[/tex]

    So, we have:

    [tex]5x = 205[/tex]

    Divide through by 5

    [tex]x = 41[/tex]

    Hence, the value of x is 41

    Read more about supplementary angles at:

    https://brainly.com/question/16281260

NEWS TODAY