Question

if(3x+18) and (2x_8 )0 are supplementary angles then find x
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Answer 1

Explanation:

3x+18+2x-8=180°. (sum of two supplementary

5x+10=180°. angles=180°)

5x=180-10

5x=170

x=170/5

x=34

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Answer 2

• Supplementary angles are The angles that sum up to 180°

Now as angles sum up to 180°, the equation becomes :

(3x + 18) + (2x - 8) = 180°

⇒ 3x + 18 + 2x - 8 = 180°

⇒ 3x + 18 + 2x - 8 + 8 = 180° + 8

⇒ 3x + 18 + 2x = 188°

⇒ 3x + 18 + 2x - 18 = 188° - 18

⇒ 3x + 2x = 170°

⇒ 5x = 170°

⇒ x = 170°/5

⇒ x = 34°