Question

Triangle A B C extended to both sides from corners A and B. D is a point closer to point A on the extended line. Angle C is located on the top. The measure of angle C is 80º, the measure of ∠CBA is 20º. What is m∠CAD? a) 20º b) 80º c) 100º d)110º

Answer 1

`m<CAD=100`

Explanation:

Triangle A B C extended to both sides from corners A and B. D is a point closer to point A . Angle C is located on the top of the triangle.

The diagram is attached below

In a triangle , external angle = sum of two opposite interior angles

so
`m<CAD=m<C +m<CBA`

`m<CAD= 80 + 20=100`