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Refer to the diagram. You must write out in complete sentences on a separate sheet of paper why each statement is false. Write complete sentences including “is false because” without using “it”, “them” or “”they”

Refer to the diagram. You must write out in complete sentences on a separate sheet-example-1
User Surjeet Bhadauriya
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1 Answer

14 votes
14 votes

Number 1


\begin{gathered} M\measuredangle DBA+M\measuredangle ABE=90^0\text{ (false bec}ause90^{0\text{ }}+90^0=180^0) \\ \end{gathered}

Number 2


\begin{gathered} _{\measuredangle\text{ DBC }+\measuredangle DBT\text{ }\\e90^0} \\ False\text{ is not complementary because }_{\measuredangle\text{ DBC }+\measuredangle DBCisgreaaterthan90^0} \\ \measuredangle DBC=90 \\ \measuredangle DBT=30^0 \\ FT\text{ is a straight line } \\ 60+90+\measuredangle DBT=180\text{ (sum of angles on a striaght line)} \\ \measuredangle DBT=180-150 \\ \measuredangle DBT=30^0 \end{gathered}

Recall, Complementary angles are two angles whose sum up to 90degrees

Number 3


\begin{gathered} \measuredangle ABE=90^0\text{ and M}\measuredangle ABF=60^0 \\ M\measuredangle FBE+M\measuredangle ABF=90^0 \\ M\measuredangle FBE+60=90 \\ M\measuredangle FBE\text{ =90-60} \\ M\measuredangle FBE=30^0 \\ It\text{ is true } \end{gathered}

Number 4


\begin{gathered} M\measuredangle\text{DBC}+M\measuredangle CBE=180^0(\text{supplementary angles)} \\ \text{false if you say it is not supplementary} \\ \text{because }M\measuredangle\text{DBC}+M\measuredangle CBE=180^0 \end{gathered}

Recall, supplementary angles are two angles whose sum up to 180degrees

Number 5


A,\text{ B , C are collinear because A, B, C are on a straight line}

Number 6


\begin{gathered} \measuredangle FBE=\measuredangle DBT\text{ }=30^0 \\ It\text{ is true because Vertically opposite angles are equal} \end{gathered}

Number 7


\begin{gathered} m\measuredangle ABF\text{ }+m\measuredangle FBE\text{ }\\e m\measuredangle ABE \\ \text{false because }m\measuredangle ABF\text{ }+m\measuredangle FBE\text{ =}m\measuredangle ABE\text{ (supplementary } \\ \text{angles)} \end{gathered}

Number 8


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Refer to the diagram. You must write out in complete sentences on a separate sheet-example-1
User Sergey Avanesyan
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