Question

1. the sum of all the interior angles of a triangles is
2. all sides of a square are
3. each of the angles of a square measures
4. consecutive angles of all parallelograms are

to 5 - supplementary, congruent, 90 degrees, 180 degrees
le, find the missing measures.

Explanation:

• For question 2: By the triangle - angle sum theorem, the sum of interior angles of a triangle is \(180^{\circ}\).
• For question 3: A square is a regular quadrilateral, and by its definition, all sides are congruent.
• For question 4: In a square, each angle is a right - angle. Using the formula for the measure of an interior angle of a regular polygon \(\theta=\frac{(n - 2)\times180^{\circ}}{n}\) (where \(n = 4\) for a square), \(\theta=\frac{(4 - 2)\times180^{\circ}}{4}=90^{\circ}\).
• For question 5: In a parallelogram, consecutive angles are supplementary. If \(\angle A\) and \(\angle B\) are consecutive angles in a parallelogram \(ABCD\) with \(AD\parallel BC\), then \(\angle A+\angle B = 180^{\circ}\) (because of the property of parallel lines and transversals).

Answer:

1. \(180\) degrees
2. congruent
3. \(90\) degrees
4. supplementary