Answer:
51°, 54°, and 75°
Step-by-step explanation:
Since the two triangles are similar triangles (it tells us) we can tell that angles in corresponding places will be congruent :D
Since we know this, we can figure out what x is and then solve for all the angles.
Given: (4x + 7) = (5x - 10)
"Distribute:" 4x + 7 = 5x - 10
Add 10 to both sides: 4x + 17 = 5x
Subtract 4x from both sides: 17 = x
Now, we can plug our x (17) into the equations to find the angles.
[] 4x + 7 -> 4(17) + 7 -> 68 + 7 -> 75°
[] 3x -> 3(17) -> 51°
[] 4x - 14 -> 4(17) - 14 -> 68 - 14 -> 54°
(we do not need to solve this one as it is equal to 4x + 7, but we can still check!)
[] 5x - 10 -> 5(17) - 10 -> 85 - 10 -> 75°
I hope this helps, good luck on your test :)) <3
