Questions: 75=2x-5 2x-5=90 75+2x-5=180 2x-5=180 x=

75=2x-5 2x-5=90 75+2x-5=180 2x-5=180 x=
Transcript text: $75=2 x-5$ $2 x-5=90$ $75+2 x-5=180$ $2 x-5=180$ $x=$
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Solution

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Solution Steps

Step 1: Identify the relationship between the angles

The given angles are 75° and (2x - 5)°. Since they are on a straight line, they are supplementary angles. Therefore, their sum is 180°.

Step 2: Set up the equation

Using the supplementary angle relationship: \[ 75 + (2x - 5) = 180 \]

Step 3: Simplify the equation

Combine like terms: \[ 75 + 2x - 5 = 180 \] \[ 2x + 70 = 180 \]

Step 4: Solve for \( x \)

Subtract 70 from both sides: \[ 2x = 110 \] Divide by 2: \[ x = 55 \]

Final Answer

\[ x = 55 \]

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