Question
Julia lined up the interior angles of the triangle along the line below.
Triangle A B C. Angle C is 112 degrees and angle B is 30 degrees. 2 lines extend from a horizontal line to form 3 angles. From left to right the angles are 38 degrees, blank, 112 degrees.
What is the measure of angle A?
30°
38°
112°
142°
Triangle A B C. Angle C is 112 degrees and angle B is 30 degrees. 2 lines extend from a horizontal line to form 3 angles. From left to right the angles are 38 degrees, blank, 112 degrees.
What is the measure of angle A?
30°
38°
112°
142°
Answers
GPT-4o mini
To find the measure of angle A in triangle ABC, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees.
Given:
- Angle C = 112 degrees
- Angle B = 30 degrees
We can find angle A using the following equation:
\[
A + B + C = 180°
\]
Substituting the known values:
\[
A + 30° + 112° = 180°
\]
Combining the known angles:
\[
A + 142° = 180°
\]
Now, subtract 142° from both sides to solve for angle A:
\[
A = 180° - 142° = 38°
\]
Thus, the measure of angle A is **38 degrees**.
Given:
- Angle C = 112 degrees
- Angle B = 30 degrees
We can find angle A using the following equation:
\[
A + B + C = 180°
\]
Substituting the known values:
\[
A + 30° + 112° = 180°
\]
Combining the known angles:
\[
A + 142° = 180°
\]
Now, subtract 142° from both sides to solve for angle A:
\[
A = 180° - 142° = 38°
\]
Thus, the measure of angle A is **38 degrees**.