Answered

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Consider the two triangles, which are not drawn to scaleFor the two triangles to be similar by angle-angle similarity, which values could be x be?A. 27 or 115B. 38 or 77C. 52 or 77D. 115 or 153

Consider The Two Triangles Which Are Not Drawn To ScaleFor The Two Triangles To Be Similar By Angleangle Similarity Which Values Could Be X BeA 27 Or 115B 38 Or class=

Sagot :

Recall that the Angle-Angle criterion states that two triangles are similar if two of their angles are congruent.

Now, recall that the interior angles of a triangle add up to 180 degrees, therefore, the other side of the largest triangle has measure

[tex]180^{\circ}-115^{\circ}-38^{\circ}=27^{\circ}.[/tex]

Therefore, the values that x could be are:

[tex]27\text{ or 115.}[/tex]

Answer: First option.

[tex]27\text{ or 115.}[/tex]

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