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Nata [24]
3 years ago
10

2 If m please help me

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:

x = 18

m∠HCB = 36

Step-by-step explanation:

The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:

8x + 2x = 180

10x = 180

Divide both sides of the equation by 10 to isolate the x:

10x/10 = 180/10

x = 18

Now that we know the value of x, we can find the measure of angle HCB:

2x

2(18)

36

The measure of angle HCB is 36.

I hope this helps :)

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Use the diagram and the given angle measure to find the other three angle measures
svetoff [14.1K]

By using the diagram and the given angle measure we get that:

if, m∠1 = 143°

then, m∠2 = 37°

         m∠3 = 143°

         m∠4 = 37°

What is angles?

An angle is formed when two straight lines or rays meet at a common endpoint.

What is Properties of Congruence?

  • Reflexive Property:

       For all angles A ,

        ∠A≅∠A .

       An angle is congruent to itself.

  • Symmetric Property:

        For any angles A  and  B ,

        if ∠A≅∠B , then ∠B≅∠A .

         Order of congruence does not matter.

  • Transitive Property:

        For any angles A,B,  and  C ,

        if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C .

        If two angles are both congruent to a third angle, then the first two        angles are also congruent.

I assume that, this refers to two intersecting lines which form four angles.

  • ∠1 and ∠2 are supplementary angles whose sum is 180°.                                      

         ∠1 + ∠2 = 180°

          143° + ∠2 = 180°

          ∠2 = 180° - 143°

          ∠2 = 37°.

  • ∠1 and ∠3 are vertical angles so do with ∠2 and ∠4.
  • Therefore, it is easy to find their measures because vertical angles are congruent in measure.

         It means that,  ∠1 = ∠3 =143° (properties of congruency)

         and ∠2 = ∠4 =37° (properties of congruency).

Find out more about angles and congruent angles:

brainly.com/question/25716982

#SPJ1

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