7. Non-Right Triangles

In the context of the Law of Sines, which of the following has a measure that is equal to the sum of the measures of the interior angles of a triangle?

Given that the major arc $JL$ of a circle measures $300°$, which of the following best describes triangle $JLM$ inscribed in the circle with points $J$, $L$, and $M$ on the circumference?

Point D is the incenter of triangle BCA. If $\angle \mathrm{FDG}$ = $136°$, what is the measure of angle $\angle \mathrm{BCA}$?

Given that an equilateral triangle and an isosceles triangle share a common side, and the triangle $ABC$ is equilateral, what is the measure of angle $\angle ABC$ in degrees?

Given the Law of Sines, could $a$ and $b$ be the side lengths of a triangle if $a=3$ and $b=7$ and the angle opposite $a$ is $80°$ and the angle opposite $b$ is $40°$?

Which of the following pairs of triangles can be proven congruent using the $\mathrm{Law} \mathrm{of} \mathrm{Sines}$?

A ship is sailing due north. At a certain point the bearing of a lighthouse 12.5 km away is N 38.8° E. Later on, the captain notices that the bearing of the lighthouse has become S 44.2° E. How far did the ship travel between the two observations of the lighthouse?

Determine the number of triangles ABC possible with the given parts.

a = 50, b = 26, A = 95°

Use the law of sines to find the indicated part of each triangle ABC.

Find b if C = 74.2°, c = 96.3 m, B = 39.5

Given triangle $ABC$ where $A$ and $B$ are on straight lines $l$ and $m$ respectively, and the measure of angle $A$ is $43°$ and angle $B$ is $47°$, what is the measure of angle $y$ (angle $C$) in degrees?

Find the area of each triangle ABC.

A = 42.5°, b = 13.6 m, c = 10.1 m

According to the Law of Sines, under which of the following angle conditions could a triangle exist? Select the correct option.

Use the law of sines to find the indicated part of each triangle ABC.

Find B if C = 51.3°, c = 68.3 m, b = 58.2 m

According to the $LawofSines$, which triangles can be mapped onto one another through a sequence of rigid transformations?