Test Prep and Spiral Review 30. Multiple Choice A triangle has three congruent angles. What is the measure of each angle? \( \begin{array}{lll}\text { (A) } 50^{\circ} & \text { (B) } 60^{\circ} & \text { C) } 75^{\circ} \\ \text { 31. Gridded Response Two angles of a triangle measure } 58^{\circ} \text { and } 42^{\circ} \text {. } \\ \text { What is the measure, in degrees, of the third angle of the triangle? }\end{array} \) Solve each proportion. (Lesson \( 4-4) \) \( \begin{array}{lll}\text { 32. } \frac{x}{3}=\frac{30}{18} & \text { 33. } \frac{8}{p}=\frac{24}{27} & \text { 34. } \frac{4}{3}=\frac{t}{21}\end{array} \) Name the types of quadrilaterals that have each property. (Lesson 8-7)

Below are the solutions to each problem: 1. A triangle has three congruent angles. Since the sum of the interior angles of any triangle is 180°, each angle measures   180° ÷ 3 = 60°.   Thus, the answer to Problem 30 is 60°. 2. In a triangle with two angles measuring 58° and 42° the third angle is found by subtracting from 180°:   180° – (58° + 42°) = 180° – 100° = 80°.   Thus, the third angle measures 80°. 3. Solve each of the following proportions:  a. (32) x/3 = 30/18   Multiply both sides by 3 to solve for x:   x = 3 × (30/18) = (90/18) = 5.  b. (33) 8/p = 24/27   Cross-multiply:   8 × 27 = 24 × p   216 = 24p   Divide both sides by 24:   p = 216/24 = 9.  c. (34) 4/3 = t/21   Cross-multiply:   4 × 21 = 3 × t   84 = 3t   Divide both sides by 3:   t = 84/3 = 28. 4. Naming Quadrilaterals by Their Properties Many quadrilaterals are classified by properties including parallel sides, congruent sides, and angles. Here’s a brief overview of common quadrilaterals along with their defining properties:  • Rectangle – A quadrilateral with four right angles and opposite sides equal.  • Square – A special rectangle with four right angles and four congruent sides.  • Parallelogram – A quadrilateral with two pairs of parallel sides; in a parallelogram, opposite sides are equal and opposite angles are congruent. (Rectangles, rhombuses, and squares are all special types of parallelograms.)  • Rhombus – A parallelogram with four congruent sides. Its diagonals bisect each other at right angles.  • Trapezoid (or Trapezium in some regions) – A quadrilateral with exactly one pair of parallel sides.   ○ If the nonparallel sides are congruent and the base angles are equal, it is called an isosceles trapezoid.  • Kite – A quadrilateral with two distinct pairs of adjacent congruent sides; one of its diagonals is the perpendicular bisector of the other. Without additional context for “each property” from Lesson 8–7, these are the standard quadrilaterals that match common properties. You can choose the appropriate type based on the specific property provided in your assignment. Summary of Answers:  30. 60°  31. 80°  32. x = 5  33. p = 9  34. t = 28 Properties of quadrilaterals include:  – Rectangle, Square, Parallelogram, Rhombus, Trapezoid/Isosceles Trapezoid, and Kite.