1.
Which shows an exterior angle
Correct Answer
D. Z
Explanation
The correct answer is z because an exterior angle is formed when a side of a polygon is extended. In this case, z is the only angle that is outside the polygon and formed by extending one of its sides.
2.
In triangle LMN, the measure of ÐM is 4° more than twice the measure of Ð L. The measure of Ð N is 27° less than half the measure of Ð L. What is the measure of Ð N?
Correct Answer
A. 2 degrees
Explanation
The measure of angle N is 27 degrees less than half the measure of angle L. Since the measure of angle L is not given, we cannot determine the exact measure of angle N. Therefore, we cannot confirm that the given answer of 2 degrees is correct.
3.
What is the meansure of ÐACB is the diagram?
Correct Answer
B. 78 degrees
Explanation
The measure of angle ACB in the diagram is 78 degrees.
4.
Brian has been making octagonal wooden puzzles. He wants to make some hexagonal puzzles next. By how much does he need to increase or decrease the interior angle measure on his template to make the hexagonal puzzles?
Correct Answer
B. Decrease by 15 degrees
Explanation
To make hexagonal puzzles, Brian needs to decrease the interior angle measure on his template by 15 degrees. This is because an octagon has interior angles measuring 135 degrees, while a hexagon has interior angles measuring 120 degrees. Therefore, by decreasing the angle measure by 15 degrees, Brian will be able to create hexagonal puzzles.
5.
What is the sum of the exterior angles in a regular 13-gon?
Correct Answer
B. 360 degrees
Explanation
The sum of the exterior angles in any polygon, including a regular 13-gon, is always 360 degrees. This is a property of polygons, where the sum of the exterior angles is equal to a full rotation of 360 degrees. Therefore, the correct answer is 360 degrees.
6.
Home plate on a baseball diamond has 3 right angles. What is the sum of the measure of Ðx and Ðy
Correct Answer
B. 90 degrees
Explanation
Home plate on a baseball diamond is a square shape, with each corner forming a right angle. Since it is mentioned that there are 3 right angles, it means that there is only one angle that is not a right angle. Therefore, the sum of the measure of Ðx and Ðy must be 90 degrees, as the only way to have 3 right angles in a square is if the remaining angle is also 90 degrees.
7.
What is the measure of angle x in this diagram?
Correct Answer
A. 60 degrees
Explanation
The measure of angle x in the diagram is 60 degrees.
8.
Which equation expresses the relationship needed to solve for x?
Correct Answer
A. 7x = 322
Explanation
The equation 7x = 322 expresses the relationship needed to solve for x. This equation states that 7 times x is equal to 322.
9.
What is the measure of an exterior angle of a regular polygon in which the sum of the interior angle measures is 5400 °
Correct Answer
A. 11.25 degrees
Explanation
The measure of an exterior angle of a regular polygon is found by dividing 360 degrees by the number of sides in the polygon. In this case, the sum of the interior angle measures is given as 5400 degrees, which means each interior angle measures 5400/360 = 15 degrees. Since the exterior angle is supplementary to the interior angle, it must measure 180 - 15 = 165 degrees. However, none of the answer choices match this value, so the correct answer is not available.