Question

Julia lined up the interior angles of the triangle along the line below.
What is the answer?

Answer 1

30 degrees is your answer.

Answer 2

Hence the measure of A
`38\degree`

Explanation:

we need to find measure of angle A of the given triangle ABC in provided figure

In provided figure

`\angle A = ? ,\angle B = 30\degree \ \text{and}\ \angle C = 112\degree`

Since, sum of interior angles of triangle is
`180\degree`

In triangle ABC

`\angle A + \angle B + \angle C=180\degree`

`\angle A + 30\degree+112\degree=180\degree`

`\angle A + 142\degree=180\degree`

Subtract both the sides by
`142\degree`

`\angle A =180\degree -142\degree`

`\angle A =38\degree`

Hence the measure of A
`38\degree`