Respuesta :

30 degrees is your answer.

Answer:

Hence the measure of  A [tex]38\degree[/tex]

Step-by-step explanation:

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

In provided figure

[tex]\angle A = ? ,\angle B = 30\degree \ \text{and}\ \angle C = 112\degree[/tex]

Since, sum of interior angles of triangle is [tex]180\degree[/tex]

In triangle ABC

[tex]\angle A + \angle B + \angle C=180\degree[/tex]

[tex]\angle A + 30\degree+112\degree=180\degree[/tex]

[tex]\angle A + 142\degree=180\degree[/tex]

Subtract both the sides by [tex]142\degree[/tex]

[tex]\angle A =180\degree -142\degree[/tex]

[tex]\angle A =38\degree[/tex]

Hence the measure of  A [tex]38\degree[/tex]

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