Write two names for the ray shown with points N, T, X collinear and an arrow extending to the left from point X through T toward N. Select all correct names for this ray.

Write four different names for the given angle shown with rays RN and RP forming an angle labeled 2 at the vertex N. Select all names that correctly identify the angle.

Use the figure at the right to fill in the blanks. Which point is the vertex of ∠2 in the figure?

Use the figure at the right to fill in the blanks. Which pair lists the sides of ∠1 in the figure?

Use the figure at the right to fill in the blanks. Select all valid names for ∠3 in the figure.

Use the figure at the right to fill in the blanks. Which point is the vertex of ∠NQL?

Use the figure at the right to fill in the blanks. Which point lies in the interior of ∠LQN?

Use the figure at the right to fill in the blanks. Select all points that are in the exterior of ∠NQO.

Use the figure at the right to fill in the blanks. Select the names that represent the ray opposite to ray SP.

Find x, given each pair of angles is congruent. In the first figure, one angle measures 57° and the other measures (11x − 9)°. What is x?

Find x, given each pair of angles is congruent. In the second figure, one angle measures (13x − 47)° and the other measures (8x + 13)°. What is x?

Classify the angle given the measure m∠A = 136°. Choose the best classification.

Classify the angle given the measure m∠3 = 89°. Choose the best classification.

Classify the angle given the measure m∠EFG = 13°. Choose the best classification.

Classify the angle given the measure m∠P = 90°. Choose the best classification.

Classify the angle given the measure m∠1 = 95°. Choose the best classification.

Using the protractor diagram centered at A with rays AB to the left, AF to the right, AD vertical, AC to the upper left, and AE to the upper right, find the measure of ∠BAE and classify it as acute, right, or obtuse.

Using the same protractor diagram centered at A, find the measure of ∠FAE and classify it as acute, right, or obtuse.

Using the same protractor diagram centered at A, find the measure of ∠BAC and classify it as acute, right, or obtuse.

Using the same protractor diagram centered at A, find the measure of ∠FAC and classify it as acute, right, or obtuse.

Using the same protractor diagram centered at A, find the measure of ∠BAD and classify it as acute, right, or obtuse.

Using the same protractor diagram centered at A, find the measure of ∠DAE and classify it as acute, right, or obtuse.

PR bisects ∠QPS. In the diagram, one half of the angle at P is labeled 68° and the other half is labeled (7x+5)°. Find x and the measure of ∠QPS.

DE bisects ∠CDF. In the diagram at vertex D, the two adjacent angles formed by the bisector DE are labeled (5x+8)° and (8x−4)°. Find x and the measure of ∠CDF.

XY bisects ∠WXZ. In the diagram, each half of the angle at X is 79°, and the entire angle is labeled (9x+23)°. Find x and the measure of ∠WXZ.

MO bisects ∠LMN. In the diagram, one half of the angle at M is labeled (6x−3)° and the other half is 45°. Find x and the measure of ∠LMO.