What is m∠CAD?

Question

4567 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-16T05:05:47

$C ˆ A D = 115^{\circ}$ $color(blue)(ChatAD = 115^@$

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

Therefore, $C ˆ A D = A ˆ C B + A ˆ B C = 90 + 25 = 115^{\circ}$ $ChatAD = AhatCB + AhatBC = 90 + 25 = color(blue)(115^@$

**Alternate method **

In a triangle, all the three angles add upto $180^{\circ}$ $180^@$

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

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

Hence #ChatAD, ChatAB are supplementary.

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