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

D.) 115º.

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.