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What is the measurement of the indicated angle assuming the figure is a square A. 45B. 90C.69D.30( I know that the answer is 90 but I don’t know how to solve it)

What is the measurement of the indicated angle assuming the figure is a square A. 45B-example-1
User Krethika
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B)90^{\operatorname{\circ}}

1) Since this is a square, it is safe to say that there are four right angles in each vertex:

2) Note that when the diagonals cross they form four isosceles triangles:

According to the Triangle Sum Theorem, The sum of all interior angles within a triangle is 180º. So we can find x by doing the following equation:


\begin{gathered} x+45+45=180 \\ x+90=180 \\ x+90-90=180-90 \\ x=90^(\circ) \end{gathered}

What is the measurement of the indicated angle assuming the figure is a square A. 45B-example-1
What is the measurement of the indicated angle assuming the figure is a square A. 45B-example-2
User Meli
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