Question

YALLLL I NEEDDDD HELPPPPPPP LOOK QT THE PICTURE PLZZZ

Answer 1

Angle A = 65 degrees, Angle B = 78 degrees

Explanation:

Since a triangle always has its vertices add up to 180 degrees to be a triangle, we can setup an equation on how to solve it. Adding all the vertices together into a formula to equal 180 degrees gives you 5x-5 = 180. Solving this equation will grant you an answer of x = 37 degrees, and taking this value and plugging it in for each requested angle is how to find the exact degree value. Angle A will just be 2(37) - 9, which ends up to be 65 degrees. Angle B is just 2(37) + 4, which becomes 78 degrees. (You can check the answer by taking all values and adding them together to equal 180. 78 + 65 + 37 = 180.) Hope that helps!

Answer 2

Answer: ∠A = 65° ∠B = 78°

The sum of all interior angles = 180°. So, set 180 equal to the angles you were given (in this case, 2x-9, 2x+4, and x), and solve for x.

180 = (2x-9) + (2x+4) + x (combine the like terms)

180 = 5x - 5 (isolate 5x by moving -5 to the other side)

5x = 180 + 5

5x = 185 (divide both sides by 5 to isolate for x)

x = 37°

Then, sub in the value of x (in this case, 37°) into ∠A and ∠B.

∠A = (2x-9) = 2(37)-9 = 65°

∠B = (2x+4) = 2(37)+4 = 78°

∴ ∠A = 65° and ∠B = 78°.