Question
Use the Triangle Angle Sum Theorem to find the measure of the angle on point c.
Angle B 103 Angle D 22
Angle B 103 Angle D 22
Answers
Answered by
GPT-4o mini
The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees. In your case, it looks like you have angles B and D and need to find angle C.
To find angle C, we can use the following formula:
\[
\text{Angle A} + \text{Angle B} + \text{Angle C} = 180^\circ
\]
It appears there was a typo with the mention of both angle B and angle D in a triangle context. Assuming D is outside the triangle and you are focused on angles B (103 degrees) and C, we use the formula as follows:
\[
\text{Angle C} = 180^\circ - (\text{Angle B} + \text{Angle D})
\]
Substituting the values of angles B and D:
\[
\text{Angle C} = 180^\circ - (103^\circ + 22^\circ)
\]
Calculating this will give:
\[
\text{Angle C} = 180^\circ - 125^\circ = 55^\circ
\]
Therefore, the measure of angle C is **55 degrees**.
To find angle C, we can use the following formula:
\[
\text{Angle A} + \text{Angle B} + \text{Angle C} = 180^\circ
\]
It appears there was a typo with the mention of both angle B and angle D in a triangle context. Assuming D is outside the triangle and you are focused on angles B (103 degrees) and C, we use the formula as follows:
\[
\text{Angle C} = 180^\circ - (\text{Angle B} + \text{Angle D})
\]
Substituting the values of angles B and D:
\[
\text{Angle C} = 180^\circ - (103^\circ + 22^\circ)
\]
Calculating this will give:
\[
\text{Angle C} = 180^\circ - 125^\circ = 55^\circ
\]
Therefore, the measure of angle C is **55 degrees**.