Question

use the triangle angle sum theorem to find the measure of the angle on point C. Angle D is 22 degrees. Angle A is 103 degrees

Answer 1

The triangle angle sum theorem states that the sum of the interior angles of a triangle is always \(180\) degrees.

Given:
- Angle A = \(103\) degrees
- Angle D = \(22\) degrees
- We need to find Angle C.

Using the triangle angle sum theorem, we can express this mathematically as:

\[
\text{Angle A} + \text{Angle D} + \text{Angle C} = 180
\]

Substituting the known values:

\[
103 + 22 + \text{Angle C} = 180
\]

Now, simplify:

\[
125 + \text{Angle C} = 180
\]

To find Angle C, subtract \(125\) from both sides:

\[
\text{Angle C} = 180 - 125 = 55
\]

Thus, the measure of angle C is \(55\) degrees.