Question

Please help with this question???

Answer 1

x = 33

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

Answer 2

33

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°