Question

angles g and e are a linear pair. angle g is 87° more than e. what is the value of angle e? show your work here

Explanation:

Step1: Set up equations

Since angles \(G\) and \(E\) are a linear pair, \(G + E=180^{\circ}\). Also, \(G = E + 87^{\circ}\).

Step2: Substitute \(G\) in the first equation

Substitute \(G = E + 87^{\circ}\) into \(G + E=180^{\circ}\), we get \((E + 87^{\circ})+E=180^{\circ}\).
Simplify the left - hand side: \(2E+87^{\circ}=180^{\circ}\).

Step3: Solve for \(E\)

Subtract \(87^{\circ}\) from both sides: \(2E=180^{\circ}- 87^{\circ}\), so \(2E = 93^{\circ}\).
Divide both sides by 2: \(E=\frac{93^{\circ}}{2}=46.5^{\circ}\).

Answer:

\(46.5^{\circ}\)