quadrilateral abcd is a parallelogram. de = 6.1 cm and m∠dab = 120°. what is bc? ＿ cm what is m∠bcd? ＿° what is ab? ＿ cm what is eb? ＿ cm

Question

Accepted Answer

### What is BC?
# Explanation:
## Step1: Recall properties of parallelogram
In a parallelogram, opposite sides are equal. So, $ BC = AD $.
## Step2: Identify length of AD
From the diagram, $ AD = 10 $ cm. So, $ BC = AD = 10 $ cm.
# Answer:
10

### What is $ m\angle BCD $?
# Explanation:
## Step1: Recall properties of parallelogram
In a parallelogram, opposite angles are equal. So, $ \angle BCD=\angle DAB $.
## Step2: Substitute value of $ \angle DAB $
Given $ m\angle DAB = 120^\circ $, so $ m\angle BCD = 120^\circ $.
# Answer:
120

### What is AB?
# Explanation:
## Step1: Recall properties of parallelogram
In a parallelogram, opposite sides are equal. So, $ AB = CD $. Wait, but looking at the diagram, maybe there's a typo or maybe we consider the other pair? Wait, no, maybe $ CD $ is 5 cm? Wait, no, the diagram shows $ CD = 5 $ cm? Wait, no, the problem: Wait, in the diagram, $ AD = 10 $ cm, $ CD = 5 $ cm? Wait, no, let's re - check. Wait, in a parallelogram $ AB = CD $ and $ BC = AD $. Wait, the diagram has $ CD = 5 $ cm? Wait, no, the user's diagram: "5 cm" is near $ CD $? Wait, maybe $ CD = 5 $ cm? Wait, no, the first sub - question is BC, which we found as 10 cm (since $ BC = AD = 10 $ cm). Then for AB, in a parallelogram, $ AB = CD $. If $ CD = 5 $ cm? Wait, no, maybe I misread. Wait, the diagram: the side from D to C is 5 cm? Wait, no, the label "5 cm" is near $ CD $, so $ CD = 5 $ cm. Then $ AB = CD = 5 $ cm? Wait, no, that can't be. Wait, maybe the diagram has $ AD = 10 $ cm, $ CD = 5 $ cm. So in parallelogram $ ABCD $, $ AB = CD $ and $ BC = AD $. So $ AB = 5 $ cm? Wait, no, maybe I made a mistake. Wait, the problem says "Quadrilateral ABCD is a parallelogram". So opposite sides are equal. So $ AB = CD $, $ BC = AD $. From the diagram, $ AD = 10 $ cm (so $ BC = 10 $ cm), and if $ CD = 5 $ cm, then $ AB = 5 $ cm.
## Step1: Use parallelogram side property
In parallelogram $ ABCD $, $ AB = CD $.
## Step2: Determine length of CD
From the diagram, $ CD = 5 $ cm. So $ AB = 5 $ cm.
# Answer:
5

### What is EB?
# Explanation:
## Step1: Recall diagonals in parallelogram
In a parallelogram, the diagonals bisect each other. So $ E $ is the mid - point of $ BD $, so $ EB = DE $.
## Step2: Substitute value of DE
Given $ DE = 6.1 $ cm, so $ EB = DE = 6.1 $ cm.
# Answer:
6.1

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QUESTION IMAGE

Question

Explanation:

What is BC?

Step1: Recall properties of parallelogram

Step2: Identify length of AD

Step1: Recall properties of parallelogram

Step2: Substitute value of \( \angle DAB \)

Step1: Recall properties of parallelogram

Step1: Use parallelogram side property

Step2: Determine length of CD

Answer:

What is \( m\angle BCD \)?