Question
Find the interior angle measure of A. Round your answer to the nearest whole degree.
Imagine a scalene triangle. The top line is labelled 45, and the bottom right slanted line is labelled 32.
The bottom point is labelled "C", while the left point on the top is labelled "B" and the one on the right labelled "A".
Imagine a scalene triangle. The top line is labelled 45, and the bottom right slanted line is labelled 32.
The bottom point is labelled "C", while the left point on the top is labelled "B" and the one on the right labelled "A".
Answers
GPT-4o mini
To find the interior angle measure of angle A in the scalene triangle ABC, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Given:
- Angle B = 45 degrees
- Angle C = 32 degrees
We can calculate angle A as follows:
\[
A = 180^\circ - (B + C)
\]
Substituting the values for B and C:
\[
A = 180^\circ - (45^\circ + 32^\circ)
\]
Calculating inside the parentheses first:
\[
A = 180^\circ - 77^\circ
\]
\[
A = 103^\circ
\]
Thus, the interior angle measure of angle A, rounded to the nearest whole degree, is:
\[
\boxed{103}
\]
Given:
- Angle B = 45 degrees
- Angle C = 32 degrees
We can calculate angle A as follows:
\[
A = 180^\circ - (B + C)
\]
Substituting the values for B and C:
\[
A = 180^\circ - (45^\circ + 32^\circ)
\]
Calculating inside the parentheses first:
\[
A = 180^\circ - 77^\circ
\]
\[
A = 103^\circ
\]
Thus, the interior angle measure of angle A, rounded to the nearest whole degree, is:
\[
\boxed{103}
\]