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3 years ago

3x+5⁰ 2x-25⁰ supplementary angles

Mathematics

2 answers:

Makovka662 [10]3 years ago

5 0

Answer:x=40

Step-by-step explanation:

5x-20=180

5x=200

X=40

lorasvet [3.4K]3 years ago

3 0

Answer:

x=40, ∠ACB=125, ∠ACD= 55

Step-by-step explanation:

In order to solve this, you have to find the x-value. We know that these angles are supplementary, which means that the angles, ∠ACB and ∠ACD, both add up to 180°.

With this information, we can conclude 3x+5+2x-25=180.

To solve this equation for x,

1. Combine like terms

5x-20=180

2. Add 20 to both sides

5x=200

3. Divide both sides by 5.

x=40

Now we have the x-value. All we have left to do is plug that in to both of the equations for the angles.

1. ∠ACB: 3(40)+5

120+5

∠ACB = 125

2. ∠ACD: 2(40)-25

80-25

∠ACD = 55

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3x+5⁰ 2x-25⁰ supplementary angles​

3x+5⁰ 2x-25⁰ supplementary angles