Question

1. the measures of the angles in an equilateral triangle are equal. what is the measure of each angle of an equilateral triangle? (1 point) 30° 45° 60° 90° 2. which quadrilateral has one pair of parallel sides, but is not a parallelogram? (1 point) rhombus rectangle trapezoid square

Explanation:

1. For the equilateral triangle:

Step1: Recall the sum of triangle angles

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Divide by the number of angles

Since an equilateral triangle has 3 equal angles, we calculate \(\frac{180^{\circ}}{3}\).
$$\frac{180^{\circ}}{3}=60^{\circ}$$

2. For the quadrilateral:

Step1: Analyze each option

• A rhombus has two pairs of parallel sides.
• A rectangle has two pairs of parallel sides.
• A trapezoid has exactly one pair of parallel sides.
• A square has two pairs of parallel sides.

Answer:

1. \(60^{\circ}\)
2. trapezoid