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OleMash [197]
3 years ago
5

What are all possible exterior angles of an isosceles triangle with a base angle of 31°

Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer:

so first we will find the interior angle:  

1 angle :  31 (given )

2 angle :31 ( the base angles of isoscles triangle are equal)

3 angle : 31 + 31 + x = 180                     ( angle sum property of triangle)

              x = 180 - 62 = 118

now the exterior angles :

1 angle : 180 - 31 = 149 ( exterior angle and the angle adjacent usually forms  a line (= 180) )

2 angle : 149 ( same reason as the first)

3 angle : 180 - 118 = 62 (  same reason as the first)

( i dont know if there is any other way, but this is one)

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

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<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Distributive Property] Distribute 5:                                                                 3x + 10 + 5x = 4x - 7
  2. [Addition] Combine like terms:                                                                        8x + 10 = 4x - 7
  3. [Subtraction Property of Equality] Subtract 4x on both sides:                      4x + 10 = -7
  4. [Subtraction Property of Equality] Subtract 10 on both sides:                       4x = -17
  5. [Division Property of Equality] Divide 4 on both sides:                                  x = -17/4
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