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solve for the value of e. 49° (2e-7)° answer attempt 2 out of 2 e = sub…

Question

solve for the value of e.
49°
(2e-7)°
answer attempt 2 out of 2
e =
submit answer

Explanation:

Step1: Use the property of adjacent angles on a straight line

The sum of adjacent angles on a straight line is \(180^{\circ}\). So, \(49+(2e - 7)=180\).

Step2: Simplify the equation

First, simplify the left - hand side of the equation: \(49+(2e - 7)=2e+(49 - 7)=2e + 42\). So the equation becomes \(2e+42 = 180\).

Step3: Solve for \(e\)

Subtract 42 from both sides of the equation: \(2e+42-42=180 - 42\), which gives \(2e=138\). Then divide both sides by 2: \(e=\frac{138}{2}\).

Answer:

\(e = 69\)