Questions: What is the value of j?

What is the value of j?
Transcript text: What is the value of $j$ ?
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Solution

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Solution Steps

Step 1: Identify the type of angles

The given angles are adjacent and form a straight line. Therefore, they are supplementary angles.

Step 2: Recall the property of supplementary angles

Supplementary angles add up to 180 degrees.

Step 3: Set up the equation

Let \( j \) be the unknown angle. The equation is: \[ 69^\circ + 26^\circ + j = 180^\circ \]

Step 4: Solve for \( j \)

Combine the known angles: \[ 69^\circ + 26^\circ = 95^\circ \] Subtract from 180 degrees to find \( j \): \[ j = 180^\circ - 95^\circ = 85^\circ \]

Final Answer

The value of \( j \) is \( 85^\circ \).

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