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100 POINTS MUST SHOW WORK OR ILL REPORT!
Given

100 POINTS MUST SHOW WORK OR ILL REPORT! Given-example-1

2 Answers

8 votes

Opposite angles are equal

Put and equate

  • 3x-20=x+40

solve

  • 3x-x=40+20
  • 2x=60
  • x=30°

m<ABC

  • 3(30)-20
  • 90-20
  • 70°

Option B

User Martin Sykes
by
8.0k points
9 votes

Answer:


\huge\boxed{\boxed{\mathbb{B)70°}}}

Explanation:

to understand this

you need to know about:

  • vertical angle
  • equation
  • PEMDAS

given:


  • \sf m\angle ABC=3x-20

  • \sf m\angle DBF=x+40

tips and formulas:

  • Vertical Angles are the angles opposite each other when two lines cross
  • vertical Angles are equal

let's solve:

according to the question

3x-20=x+40

=>3x-x=40+20

=>2x=60

=>x=60/2

x=30

given
\sf m\angle ABC=3x-20

substitute the value of x

30×30-20

simplify

90-20

70

User Nic Scozzaro
by
8.6k points

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