In triangle abc, b = 600, ∠b = 11°, and ∠c = 75°. find a.

Step-by-step explanation:

Step 1

Find the measure of angle A

we know that

The measure of the internal angles of a triangle is equal to

so

m∠A=

m∠A=

Step 2

Find the measure of side a

Applying the law of sines

we have

substitute

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: