Question

zaida took a square piece of paper and folded two of its sides to the diagonal, as shown, to obtain a quadrilateral. what is the size of the largest angle of the quadrilateral?

Answer 1

112.5°

Explanation:

The corner of the square that remains is a 90° angle.

The opposite corner started as a 90° angle that was folded in half into two 45° angles. Then each 45° angle was folded in half into two 22.5° angles. Then you put two 22.5° angles together to make a 45° angle.

So far we have two opposite angles measuring 90° and 45°.

The quadrilateral is a kite. The other two opposite angles are congruent.

The sum of the measures of the angles of a quadrilateral is 360°.

360° - 90° - 45° = 225°

225°/2 = 112.5°