Question

wednesday 11/12 and thursday 11/13 - lines and angles of di
practice score: 3/7 answered: 3/7
question 4
if quadrilateral defg - quadrilateral wxyz, find ( mangle w )
note: figures are not to scale.
( mangle w=) enter an integer or decimal number more...

Explanation:

Step1: Sum of interior angles of a quadrilateral

The sum of interior angles of a quadrilateral is \((4 - 2)\times180^{\circ}=360^{\circ}\).

Step2: Calculate \(m\angle D\)

Since quadrilateral \(DEFG\sim\) quadrilateral \(WXYZ\), corresponding angles are equal. Let \(m\angle D=m\angle W\).
We know that in quadrilateral \(DEFG\), \(m\angle D+68^{\circ}+85^{\circ}+80^{\circ}=360^{\circ}\).
So \(m\angle D=360^{\circ}-(68^{\circ}+85^{\circ}+80^{\circ})\).
First, calculate \(68 + 85+80=233\).
Then \(m\angle D=360 - 233=127^{\circ}\).

Answer:

\(127\)