Question

What is m∠CAD?

Answer 1

`color(blue)(ChatAD = 115^@`

Explanation:

In a triangle, exterior angle is equal to the sum of the interior opposite angles.

Therefore, `ChatAD = AhatCB + AhatBC = 90 + 25 = color(blue)(115^@`

Alternate method

In a triangle, all the three angles add upto `180^@`

`:. ChatAB = 180 - 90 - 25 = 65^@`

`bar(DB)` is a straight line and line `bar(CA)` standing on it.

Hence #ChatAD, ChatAB are supplementary.

Hrence, `ChatAD = 180 - ChatAB = 180 - 65 = 115^@`