Question

1. find ( mangle e ).

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

The sum of interior angles of a quadrilateral is \(360^{\circ}\).

Step2: Use the property of a kite (assuming it's a kite as two pairs of adjacent sides are equal)

In a kite, one pair of opposite angles are equal. Let \(m\angle D = 70^{\circ}\), \(m\angle G=63^{\circ}\). Let \(m\angle E=x\) and \(m\angle F = x\) (if it's a kite, non - vertex angles are equal).
We know that \(m\angle D+m\angle E+m\angle F + m\angle G=360^{\circ}\). Substituting the values, we get \(70 + x+x + 63=360\).

Step3: Simplify the equation

\(133 + 2x=360\). Then \(2x=360 - 133\). So \(2x = 227\).

Step4: Solve for \(x\)

\(x=\frac{227}{2}=113.5\)

Answer:

\(m\angle E = 113.5^{\circ}\)