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35 votes
35 votes
Work out the size of angle x give a reason for your answer

Work out the size of angle x give a reason for your answer-example-1
User Jose Vf
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1 Answer

17 votes
17 votes
X = 60*

Step-by-step explanation:
The M of angle X is the same as any other angle in the triangle. Because if you where to complete the separate triangle then it would be similar to the current one, meaning that the corresponding angles are congruent. And if both triangles are equilateral triangles, then all angles in both of the two similar triangles are congruent.
So if you find the M of any angle then you can solve for X.
Since we know that the interior angles of any triangle add up to 180*, and that it’s an equilateral triangle, we know that the angles have to be the same. So 180*/3 = 60*
Hope this helps!
User Iikkoo
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