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
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