# Help I have a test on this soon but I'm not good at math and I don't know the steps to solve this

1 answer

###### Question:

Help I have a test on this soon but I'm not good at math and I don't know the steps to solve this

## Answers

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 - 10Add 10 to both sides: 4x + 17 = 5xSubtract 4x from both sides: 17 = xNow, 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

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