Mastering Missing Angles: Law of Sines Quiz for Grade 10

A triangle has angles A, B, and C. If angle A is 30 degrees and angle B is 70 degrees, what is the measure of angle C?

• 60 degrees

• 80 degrees

• 100 degrees

• 90 degrees

In triangle XYZ, angle X measures 45 degrees, and side x (opposite angle X) is 10 cm. If side y (opposite angle Y) is 15 cm, what is the measure of angle Y?

• 90 degrees

• 30 degrees

• 75 degrees

• 60 degrees

A boat sails from point A to point B, creating a triangle with point C on the shore. If angle A is 50 degrees and angle C is 80 degrees, what is the angle B?

• 50 degrees

• 70 degrees

• 100 degrees

• 30 degrees

In triangle ABC, angle A is 35 degrees, side a is 12 m, and side b is 15 m. Calculate the measure of angle B using the law of sines.

• 30 degrees

• 45.4 degrees

• 60 degrees

• 50 degrees

A surveyor measures angle A as 60 degrees and side a as 20 m in triangle ABC. If side b is 25 m, what is the measure of angle B?

• 30 degrees

• 45 degrees

• 54.74 degrees

• 70 degrees

In triangle DEF, angle D is 40 degrees, side d is 8 m, and side e is 10 m. Find the measure of angle E using the law of sines.

• 30 degrees

• 60 degrees

• 53.1 degrees

• 45 degrees

A ladder leans against a wall, forming a triangle with the ground. If the angle between the ladder and the ground is 75 degrees and the angle between the wall and the ladder is 45 degrees, what is the angle between the wall and the ground?

• 90 degrees

• 30 degrees

• 60 degrees

• 45 degrees

In triangle GHI, angle G is 55 degrees, side g is 14 m, and side h is 10 m. Calculate the measure of angle H using the law of sines.

• 35.8 degrees

• 25 degrees

• 60 degrees

• 45 degrees

A triangular park has one angle measuring 90 degrees, another angle measuring 30 degrees. What is the measure of the third angle?

• 45 degrees

• 60 degrees

• 90 degrees

• 75 degrees

In triangle JKL, angle J is 25 degrees, side j is 5 m, and side k is 7 m. What is the measure of angle K?

• 50 degrees

• 45 degrees

• 36.5 degrees

• 30 degrees