Q
QuestionMathematics

Triangle 1 has an angle that measures 62° and an angle that measures 14°. Triangle 2 has an angle that measures 14° and an angle that measures x°, where x ≠ 62°. Based on the information, Bob claims that triangle 1 and triangle 2 cannot be similar. What value of x, in degrees, will refute Bob’s claim?
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Answer

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Step 1
Let's solve this step by step:

Step 2
: Recall the angle sum property of triangles

- In any triangle, the sum of all interior angles must equal 180° - This means the third angle can be found by subtracting the known angles from 180°

Final Answer

62 degrees will refute Bob's claim, as this makes the triangles similar.