Angle Relationships

An angle that measures exactly 180°

• acute angle

• right angle

• straight angle

• obtuse angle

Answer explanation

A straight angle measures exactly 180°. It forms a straight line, while acute angles are less than 90°, right angles are exactly 90°, and obtuse angles are greater than 90° but less than 180°.

Tags

CCSS.4.G.A.1

An angle that measures less than 90°

• acute angle

• obtuse angle

• right angle

• straight angle

Answer explanation

An angle that measures less than 90° is called an acute angle. In contrast, an obtuse angle is greater than 90°, a right angle is exactly 90°, and a straight angle measures 180°.

Tags

CCSS.4.G.A.1

An angle that measures more than 90°

• acute angle

• obtuse angle

• straight angle

• right angle

Answer explanation

An angle that measures more than 90° is called an obtuse angle. Acute angles are less than 90°, right angles are exactly 90°, and straight angles measure 180°. Therefore, the correct answer is obtuse angle.

Tags

CCSS.4.G.A.1

An angle that measures exactly 90°

• acute angle

• obtuse angle

• right angle

• straight angle

Answer explanation

A right angle measures exactly 90°. In contrast, an acute angle is less than 90°, an obtuse angle is more than 90°, and a straight angle measures 180°. Therefore, the correct answer is right angle.

Tags

CCSS.4.G.A.1

∠ERW and ∠WRQ are...

• complementary angles

• supplementary angles

• vertical angles

• straight angles

Answer explanation

∠ERW and ∠WRQ are supplementary angles because they add up to 180 degrees. This means that when two angles are adjacent and their non-common sides form a straight line, they are considered supplementary.

Tags

CCSS.7.G.B.5

These angles are supplementary.

What is the measure of ∠CYM

• 127°

• 137°

• 37°

• 143°

Answer explanation

Supplementary angles sum to 180°. If ∠CYM is x, then x + 53° = 180°. Solving for x gives x = 127°. Therefore, the measure of ∠CYM is 127°.

Tags

CCSS.7.G.B.5

Find the missing angle measure.

• 52°

• 228°

• 42°

• 180°

Answer explanation

To find the missing angle, we can use the fact that the sum of angles in a triangle is 180°. If the other two angles are 52° and 86°, the missing angle is 180° - (52° + 86°) = 42°. Thus, the correct answer is 42°.

Tags

CCSS.7.G.B.5

Which equation can be used to solve for the value of x?

• 119°+(6x+7)°=90°

• 119°=(6x+7)°

• 119°+(6x+7)°=180°

• 180°-119°=(6x)°

Answer explanation

The correct equation is 119°+(6x+7)°=180°, as it represents the sum of angles in a straight line. This allows us to solve for x by setting the total equal to 180°, which is the angle sum for a straight line.

Tags

CCSS.7.G.B.5

What is the value of x?

• x=5

• x=6

• x=9

• x=36

Tags

CCSS.7.G.B.5

What is the measure of ∠HVA?

• 36°

• 9°

• 43°

• 61°

Tags

CCSS.7.G.B.5