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lapo4ka [179]
3 years ago
15

The three angles of a triangle have measures

Mathematics
1 answer:
slava [35]3 years ago
6 0

The correct answer is: B. 47 degrees

Step-by-step explanation:

Given

Let A,B and C be the three angles

∠A = 8x+6

∠B = 7x-8

∠C = 5x+2

As we know that sum of angles of a triangle is 180°

Mathematically

∠A+∠B+∠C=180°

(8x+6)+(7x-8)+(5x+2) = 180°

8x+6+7x-8+5x+2=180°

20x=180°

dividing both sides by 20

20x/20 = 180/20

x= 9

The angles will be:

∠A = 8x + 6 = 8(9)+6 = 72+6 =78°

∠B = 7x-8 = 7(9)-8 = 63-8 = 55°

∠C = 5x+2 = 5(9) +2 = 47°

The smallest angle is 47°

Hence,

The correct answer is: B. 47 degrees

Keywords: Triangle, Angles

Learn more about triangles at:

  • brainly.com/question/2154850
  • brainly.com/question/2367554

#LearnwithBrainly

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\bold{\huge{\orange{\underline{Solution}}}}

\bold{\underline{ Given :- }}

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\bold{\underline{ Let's \: Begin :- }}

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<span>2x + 4 = 3(x – 2) + 1

You are to solve this for x.

1) perform the multiplication:     </span><span>2x + 4 = 3x - 6 + 1
2) combine like terms:                4+6-1 = x
3) solve for x:                              x = 11
4) check:  Is 2(11) + 4 = 3(11-2) + 1 true?
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The solution to #1 is  x = 9  (answer).

Submit your other questions separately, please.

</span>
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