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4 years ago

If the measure of angle 1 is 68°, what is the measure of angle 5?

Mathematics

2 answers:

mars1129 [50]4 years ago

6 0

Answer: The correct option is (B) 68°.

Step-by-step explanation: Given that the measure of angle 1 is 68°.

we are to find the measure of angle 5.

From the figure, we note that

lines s and t are parallel to each other and r is a transversal.

So, angles 1 and 5 are corresponding angles, and their measures must be same.

That is,

$m\angle 1=m\angle 5.$

Since, we have

$m\angle 1=68^\circ.$

So, we get

$m\angle 5=68^\circ.$

Thus, the measure of angle 5 is 68°.

Option (B) is CORRECT.

stepladder [879]4 years ago

5 0

68 degrees as well, because the angles are corresponding.

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$\bf \cfrac{A}{B}=\cfrac{3}{6}\implies \cfrac{A}{B}=\cfrac{1}{2}\implies 2A=\boxed{B}
\\\\[-0.35em]
~\dotfill\\\\
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\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
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