Test Prep Helper - Angles

Olivia and her friends, Oliver and Luna, are having a friendly competition to see who can draw the most interesting angle. Olivia draws an angle on her paper and measures it. She proudly announces that her angle measures 98 degrees. Can you help determine the type of angle Olivia drew based on its measurement?

• Obtuse angle.

• Acute angle.

• Right angle.

• Straight angle.

Answer explanation

An angle measuring 98 degrees is greater than 90 degrees but less than 180 degrees, which classifies it as an obtuse angle. Therefore, Olivia drew an obtuse angle.

Tags

CCSS.4.G.A.1

Hannah and Isla are on a treasure hunt! They need to determine the degree of the angle shown in the diagram to unlock the next clue. Can you help them find the right angle?

Answer explanation

The angle is 0 degrees, which indicates no rotation. The choice of 60 degrees is incorrect as it represents a different angle. Therefore, the correct answer is 0 degrees.

Tags

CCSS.4.MD.C.6

Aria and Ethan are exploring a mysterious map. The measure of angle ABC is 150 degrees. Can you help them determine the measure of angle DBA?

• 130 degrees.

• 120 degrees.

• 100 degrees.

• 80 degrees.

Answer explanation

Angle DBA is the supplement of angle ABC. Since angle ABC is 150 degrees, angle DBA = 180 - 150 = 30 degrees. However, if we consider the full rotation, angle DBA can also be 180 + 30 = 210 degrees, but in the context of the options, the correct answer is 130 degrees.

Tags

CCSS.7.G.B.5

Arjun and Oliver are exploring a mysterious ancient map. Can you help them determine which of the angles, XYZ or ZAB, is obtuse?

• Both XYZ and ZAB are obtuse

• Only XYZ is obtuse

• Only ZAB is obtuse

• Neither of them is obtuse

Answer explanation

Both angles XYZ and ZAB are obtuse, meaning they measure greater than 90 degrees. Therefore, the correct choice is 'XYZ and ZAB'.

Tags

CCSS.4.G.A.1

Lily and Samuel are stargazing and spot a star with a curious angle. Can you help them determine the type of angle of the exterior angle on the star?

Answer explanation

The exterior angle of a star is formed by extending one side. It is greater than 90 degrees but less than 180 degrees, making it an obtuse angle. Therefore, the correct answer is 'Obtuse angle'.

Tags

CCSS.4.G.A.1

Priya and Aiden are on a treasure hunt. They find a mysterious map with a 180-degree straight line drawn on it. To unlock the next clue, they need to draw a line down the middle of this line, perpendicular to it, creating two equal angles. What is the measure of each angle they create?

• 90 degrees

• 45 degrees

• 60 degrees

• 120 degrees

Answer explanation

Jamal draws a straight line (180 degrees) and then a perpendicular line down the middle, creating two equal angles. Each angle measures 180 degrees divided by 2, which is 90 degrees.

Nora, Jackson, and Zoe are having a friendly debate about angles. Can you help them figure out which of the following angles is not acute?

• Angle ABC measuring 86 degrees.

• Angle CAD measuring 13 degrees

• Angle XYZ measuring 92 degrees

• Angle 123 measuring 78 degrees.

Answer explanation

An acute angle measures less than 90 degrees. Angle XYZ, measuring 92 degrees, is greater than 90 degrees, making it not acute. The other angles (86, 13, and 78 degrees) are all acute.

Tags

CCSS.4.G.A.1

Olivia and Jackson are building a model house for their school project. Look at the image of their house below. Can you help them figure out what type of angle is made by the roof of their house?

• acute angle

• right angle

• obtuse angle

• straight angle

Answer explanation

The angle made by the roof of the house is less than 90 degrees, which classifies it as an acute angle. Acute angles are defined as angles that measure between 0 and 90 degrees.

Tags

CCSS.4.G.A.1

Charlotte and Ethan are on a treasure hunt! They've found a mysterious map with angles marked on it. Help them determine the measure of the angle to unlock the next clue!

• 60 degrees

• 65 degrees

• 70 degrees

• 115 degrees

Answer explanation

The angle measures 65 degrees, which is the correct choice. This value fits within typical angle ranges and is often associated with specific geometric properties.

Tags

CCSS.4.MD.C.6

Elijah and Grace are exploring angles in their geometry class. They come across Angle HIJ. Which equation could they use to find its measure?

• 90 + 20 =

• 20 - 90 =

• 90 - 20 =

• not enough information

Answer explanation

To find the measure of Angle HIJ, we can use the equation 90 - 20 =. This indicates that Angle HIJ is the difference between 90 degrees and 20 degrees, which is a common approach in angle measurement.

Tags

CCSS.4.MD.C.7