1 Answer

Josh Clemm · Answer 1 · 2023-09-25T23:42:42+0000

From the figure

$\begin{gathered} \angle1+\angle2=180 \\ \angle3+\angle4=180 \end{gathered}$

Because they are linear angles

Then the first answer is right

$m\angle1+m\angle2=m\angle3+m\angle4$

Since l is parallel to m, then

$m\angle1+m\angle5=180$

Because they are interior supplementary angles

$m\angle1+m\angle5=m\angle3+m\angle4$

Because both of them = 180

Then answer 2 is right

$\begin{gathered} m\angle3+m\angle4=180 \\ m\angle4+m\angle7=180\text{ interior supplementary angles} \end{gathered}$

Then

$m\angle3+m\angle4=m\angle4+m\angle7$

The last answer also is right

For answer 3

let us check it

$m\angle1+m\angle6=m\angle4+m\angle6$

Since angle 6 is common in the two sides, then we can cancel it from both sides, then

$m\angle1=m\angle4$

But no mention about that these two angles are equal, then we can not say they are equal

The wrong statement is answer 3

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