Question

Unknown angle problems (with ale

Solve for I in the diagrarn below.
(24 + 45)
f
TE

Answer 1

x = 45

Explanation:

The angles with (2x + 45) and x are supplementary angles, meaning they add up to 180°. We can write this statement as an algebraic equation of
`2x + 45 + x = 180` and solve it.

Step 1: Combine like terms.

• 
  `(2x+x)+45=180`
• 
  `3x+45=180`

Step 2: Subtract 45 from both sides.

• 
  `3x + 45 - 45 = 180 - 45`
• 
  `3x = 135`

Step 3: Divide both sides by 3.

• 
  `3x/3 = 135/3`
• 
  `x = 45`

Step 4: Check if solution is correct.

• 
  `2(45) + 45 + 45 = 180`
• 
  `90 + 90 = 180`
• 
  `180=180`

Therefore, x = 45.

Have a lovely rest of your day/night, and good luck with your assignments! ♡