Question

Unknown angle problems (with ale Solve for I in the diagrarn below. (24 + 45) f TE

Answer 1

Answer:

x = 45

Step-by-step 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.

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