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Mila [183]
3 years ago
9

Interior and Exterior Triangle Angles (0/5)

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

<h3>      ∠R = 69</h3>

Step-by-step explanation:

<h2>Angle sum property</h2>

Sum of all angles of triangle = 180

     5x - 11 + 3x - 3 + 3x + 18 = 180

      5x + 3x + 3x  -11 - 3 + 18 = 180

Combine like terms

                             11x  + 4 = 180

                                   11x = 180 - 4

                                   11x = 176

                                      x = 176/11

                                       x = 16

∠R = 5x - 11

   = 5*16 - 11

   = 80 - 11

    = 69

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<em>*Add 13 to both sides*</em>

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<em>*Divide both sides by 3*</em>

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Now, plug in 9 for y in the equation 8y-13 to find the measure of that angle.

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Now, the sum of the angles in any triangle is equal to 180 degrees.  We can use this knowledge to set up an equation to solve for x.

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Now, we can find <RSP by pluggin 24 in for x.

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