Solve the triangle.

b = 72°, b = 12, c = 8

Part 1)

Part 2)

Part 3)

Step-by-step explanation:

we know that

Applying the law of sines

In this problem we have

Step 1

Find the measure angle C

substitute the values and solve for C

Step 2

Find the measure of angle A

we know that

The sum of the internal angles of the triangle must be equal to degrees

so

we have

Step 3

Find the measure of side a

Applying the law of cosines

substitute

the answer on e2020 is

10

4/5

3/5

4/3

step-by-step explanation:

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°