Which set of three angles could represent the interior angles of a triangle? a: 26, 51, 103; b: 29, 54, 107; c: 35, 36, 60; d: 10, 90, 90

A: 26, 51, 103

Step-by-step explanation:

By definition the sum of the interior angles of a triangle is 180 degrees.

Then you can add the angles given in each set:

Option A:

Option B:

Option C:

Option D:

Therefore, the  set of three angles could represent the interior angles of a triangle is the set of the option A.

Option A

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

The option A could represent the interior angles of a triangle

because

26°+51°+103°=180°

-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