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3 years ago

Please help ASAP! What is m∠CAD? a.) 25º b.) 90º c.) 100º d.) 115º

Mathematics

2 answers:

mars1129 [50]3 years ago

8 0

<span>m∠CAD = 90 + 25 = 115
answer
</span><span>d.) 115º</span>

gregori [183]3 years ago

3 0

Answer:

Step-by-step explanation:

We know that:

$m\angle C=90\°$
$m\angle B=25\°$

Also, it's important to consider the rule about the interior angles of a triangle: The sum of all interior angles of any triangle is 180°.

So, in this case we have: $\angle CAB + \angle B + \angle C = 180\°\\\angle CAB + 25\° + 90\°=180\°\\\angle CAB = 180\° - 25\° - 90\°\\\angle CAB = 65\°$

Now, from the graph we notice that $\angle CAB$ and $\angle CAD$ are on a straight angle, and they are supplementary. So, we have:

$\angle CAB + \angle CAD = 180\°\\\\65\° + \angle CAD = 180\°\\\angle CAD = 180\° - 65\°\\\angle CAD = 115\°$

<em>Therefore, the correct answer is D.</em>

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