Consider rectangle WXYZ with diagonal XZ. Rectangle W X Y Z is cut diagonally into 2 equal triangles. Angle Y X Z is 26 degrees and angle X Z W is x degrees. Angles Y and W are right angles. The angle relationship for triangle XYZ is 26° + 90° + m∠YZX = 180°. Therefore, m∠YZX = 64°. Also, m∠YZX + m∠WZX = 90°. So, x = °.

Answer:

26 i think

Step-by-step explanation:

next time  try upload a picture so it for easier for us to answer

The measure of x is 26°.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given a rectangle WXYZ.

The diagonal XZ divides the rectangle into two triangles.

Consider ΔXYZ.

Sum of interior angles of a triangle is 180°.

26° + 90° + m ∠YZX = 180°

m ∠YZX = 180 - (26 + 90)

              = 64°

Angle Z is a right angle.

m ∠YZX + m ∠WZX = 90°

64 + x = 90°

x = 26°

Hence the measure of angle x is 26°.

Learn more about Angles here :

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