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lozanna [386]
3 years ago
7

Please Show Work.

Mathematics
2 answers:
aleksklad [387]3 years ago
5 0

Answers:

x = 20

angle A = 65 degrees

angle B = 55 degrees

==============================================

Work Shown:

A+B = 120

(3x+5) + (2x+15) = 120

5x+20 = 120

5x = 120-20

5x = 100

x = 100/5

x = 20

Use this to find both angles

angle A = 3x+5 = 3(20)+5 = 65 degrees

angle B = 2x+15 = 2(20)+15 = 55 degrees

Then note how A+B = 65+55 = 120 to help confirm our answers.

shtirl [24]3 years ago
3 0

Answer:

\huge\boxed{\angle A = 65, \angle B = 55}

Step-by-step explanation:

We can treat each of these angle equations as if they are the real angle measures.

We know these angles add up to 120°, so we can create an addition statement:

(3x+5) + (2x+15) = 120

We can then solve for x.

  • Combine like terms: 5x + 20 = 120
  • Subtract 20 from both sides: 5x = 100
  • Divide both sides by 5: x = 20

Now that we know x = 20, we can substitute it into both equations for each angles and find it.

∠A = 3x+5\\ 3 \cdot 20 + 5\\60+5\\65

∠B = 2x+15\\2\cdot 20 + 15\\ 40+15\\55

We can test that this is right because 65+55 = 120.

Hope this helped!

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