Question

Please help ASAP!

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

Answer 1

m∠CAD = 90 + 25 = 115
answer
d.) 115º

Answer 2

Answer:

D.) 115º.

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:

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

Therefore, the correct answer is D.