PLS HELP A triangle is shown.

Part A: What is the value of x, in degrees?
13.8
16
20
24
Part B: What is the measure of 2Ain degrees?
22
30
38
48

A: x=16

B: ∠A=22

Step-by-step explanation:

A

The angles in a triangle always add up to 180. Therefore:

∠A+∠B+∠C=180

(2x-10)+(3x)+(4x+46)=180

2x+3x+4x+46-10=180

9x=180-36

x=144/9

x=16

B

∠A=2x-10

∠A=2(16)-10

∠A=32-10

∠A=22

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3