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konstantin123 [22]
3 years ago
12

A quadrilateral has angles measuring 105°,80°and 45°.What is the measure of the fouth angle?​

Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

The measurement of fourth angle is: 130°

Further explanation:

Let A, B, C and D be the four angles.

m∠A=105°

m∠B=80°

m∠C=45°

We know that the sum of interior angles of a quadrilateral is 360°

So,

m∠A+m∠B+m∠C+m∠D=360°

105°+80°+45°+m∠D=360°

230°+m∠D=360°

m∠D=360°-230°

m∠D=130°

The measurement of fourth angle is: 130°

Keywords: Quadrilateral, Interior angles

Learn more about quadrilateral at:

  • brainly.com/question/5528742
  • brainly.com/question/5527192

#LearnwithBrainly

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3 years ago
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gregori [183]

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If this is a proof then here is the answer.

Angle ABD is Congruent to Angle CBD = Given

Angle BDA is Congruent to Angle BDC = Given

Angle ABD is Congruent to Angle CBD = Definition of Angle Bisector

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Step-by-step explanation:

Lucky for you, I just learned this also ;)


Since you are given your first two directions, put them down as GIVEN in the proof.

Next, Since ABD and CBD are congruent angles, you can assume that it is an angle bisector since angle bisectors always bisect equally.

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5 0
3 years ago
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Answer:

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