Question

1. find the measure of each angle.

ca cc 8.ee.7, 8.ee.7b, 8.g.5

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \(m\angle E+m\angle F + m\angle D=180^{\circ}\).

Step2: Substitute the known values

Since \(m\angle E = x^{\circ}\), \(m\angle F=x^{\circ}\) and \(m\angle D = 98^{\circ}\), we have the equation \(x + x+98=180\).

Step3: Simplify the equation

Combining like - terms, \(2x+98 = 180\).

Step4: Solve for \(x\)

Subtract 98 from both sides: \(2x=180 - 98\), so \(2x = 82\). Then divide both sides by 2: \(x=\frac{82}{2}=41\).

Answer:

\(m\angle E = 41^{\circ}\), \(m\angle F = 41^{\circ}\)