Answer:
40°
Step-by-step explanation:
To solve for x:
- Turn this into an algebraic expression: (4x + 12) + (6x + 8) = 90
- Combine like terms: (4x + 6x) + (12 + 8) = 90
- Simplify: 10x + 20 = 90
- Subtract 20 from each side, so it now looks like this: 10x = 70
- Divide each side by 10 to cancel out the 10 next to x. It should now look like this: x = 7
Plug the value of x in, to solve for angle m∠1:
- 4(7) + 12
- Multiply: 4(7) = 4 × 7 = 28
- Plug 28 in: 28 + 12
- 28 + 12 = 40°
I hope this helps!
