Respuesta :

Answer:

x = 71°

Step-by-step explanation:

The angles of any triangle will always amount to 180°.

Which means: (Angle of A) + (Angle of B) + (Angle of C) = 180°

Placing the known values into that equation will always let you know the third angle of any triangle.

(Angle of A) + (Angle of B) + (Angle of C) = 180°

(38°) + (71°) + (x) = 180°

109° + x = 180°

Solve for x by subtracting 109° from both sides

x = 180° - 109°

x = 71°

OR you can add the other two known angles 38° + 71° = 109°

This subtracted from the 180°

180° - 109° = 71°

The third angle of the triangle is 71°.

Triangle

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given

The angle of the triangle is 38° and 71°.

To find

The third angle of the triangle.

How do find the third angle of the triangle?

Let the angle be x.

The angle of the triangle is 38° and 71°.

The sum of the angle of the triangle is 180 degrees, then

∠x + 38° + 71° = 180°

                 ∠x = 71°

Thus The third angle of the triangle is 71°.

More about the triangle link is given below.

https://brainly.com/question/25813512