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Sagot :
Answer:
33
Step-by-step explanation:
Supplementary angles total 180°.
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A + B = 180 . . . . . . . . . . . . . definition of supplementary angles
(3x +45) + (2x -30) = 180 . . . . . substitute the given expressions
5x +15 = 180 . . . . . . . . . collect terms
x +3 = 36 . . . . . . . . divide by 5
x = 33 . . . . . . . subtract 3
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Additional comment
The angles are ...
- A = 3(33) +45 = 144°
- B = 2(33) -30 = 36°
Answer:
x = 33
Step-by-step explanation:
supplementary angles are two angles whose sum is 180°
viusal example, check attached image
Step 1: Find x
(3x + 45) + (2x - 30) = 180
(3x + 2x) + (45 -30) = 180
5x + 15 = 180
5x + 15 - 15 = 180 - 15
5x = 165
5x / 5 = 165 / 5
x = 33
checking work:
Step 2: Finding Angle A by plugging x in
3x + 45
3(33) + 45 = 144
Anglw A = 144°
Step 3: Finding Angle B by plugging x in
2x - 30
2(33) - 30 = 36
Angle B = 36°
Angle A + Angle B = 180°
144° + 36° = 180° TRUE x is correct
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