Question

in rectangle efgh, it is known that the measure of \\( \angle e \\) ... (text cut off, likely related to angle measure in rectangle) determine the value of \\( a \\). show how you found your answer.

Explanation:

Step1: Recall rectangle angle property

In a rectangle, all angles are right angles (90 degrees). So, \( \angle E = 90^\circ \).

Step2: Set up equation

We know \( \angle E = 4a + 6 \). So, set \( 4a + 6 = 90 \).

Step3: Solve for \( a \)

Subtract 6 from both sides: \( 4a = 90 - 6 = 84 \).
Divide both sides by 4: \( a = \frac{84}{4} = 21 \).

Answer:

\( a = 21 \)