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3 years ago

The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees

Mathematics

1 answer:

Radda [10]3 years ago

8 0

Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

7x + 19 = 180 {Subtract 19 from both sides}

7x = 180 - 19

7x = 161 {Divide both sides by 7}

x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40

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Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

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Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

From the photo, we can see that:

Length of the magnet:

1 inch there is 1 magnet
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=> the total number of magnets that longer than 2 1/2 are: 4+1+2 = 7

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