Triangle sum theorem me will give brainliest, , and stars. to correct answerer, show work

Step-by-step explanation:

The given triangle is right angled triangle having one of it's angle measured as 90°

Also , The sum of the interior angle of a triangle is 180°.

Hence, in given fig.

90° + 31° + ( 3x - 1 )° = 180

121° +3x° - 1° = 180°

120° + 3x° = 180

3x = 60°

x = 20°

So, the value of x is 20°

and the measure of the angle ( 3x - 1 ) is 3 ( 20 ) - 1 = 60-1 = 59°

As from above question we know that sum of interior angle of a triangle is 180°

applying the same in this question ;

angleA + angle B + angleC = 180°

x + 5x - 8 + 3x + 44 = 180

9x + 36 = 180

9x = 180 - 36

9x = 144

x = 144/9

x = 16

So, the angle B = x = 16°

also, angle A = 5x - 8 = 5 ( 16 ) - 8

= 80 - 8

= 72°

and angle c = 3x + 44

= 3(16 ) + 44 = 48 + 44 = 92°

So, A = 72° , B = 16° and C = 92°

Triangle having one of it's angle measured as 90° !!

mk./km: lm

step-by-step explanation:

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; mk

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-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