Mathematics

Based on the given figure, which of the following statements is true?

$\angle\, 4$ and $\angle\, 5$ are alternate angles.

SOLUTION
$\angle 5$ and $\angle 7$ are vertically opposite angles.
$\angle 6=55^{\circ}$      (Alternate angles)
$\angle 7+\angle 6=180^{\circ}$  (Adjacent angle on straight line)
$\Rightarrow \angle 7+{ 55 }^{ \circ }={ 180 }^{ \circ }\\ \Rightarrow \angle 7={ 125 }^{ \circ }$
$\angle 1$ and $\angle 8$ are not corresponding angles.
$\angle 4$ and $\angle 5$ are alternate angles.
So only option $D$ is correct.

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Single Correct Medium Published on 09th 09, 2020
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