Question
The measure of angle B is 83 degrees, and the measure of angle C is 42 degrees.
Triangle B C D.
What is the measure of angle D in degrees?
41°
45°
55°
125°
Triangle B C D.
What is the measure of angle D in degrees?
41°
45°
55°
125°
Answers
GPT-4o mini
In any triangle, the sum of the interior angles is always 180 degrees. Given that the measures of angles B and C are \(83^\circ\) and \(42^\circ\) respectively, we can calculate the measure of angle D as follows:
\[
\text{Measure of angle D} = 180^\circ - \text{Measure of angle B} - \text{Measure of angle C}
\]
Substituting the values:
\[
\text{Measure of angle D} = 180^\circ - 83^\circ - 42^\circ
\]
Calculating this gives:
\[
\text{Measure of angle D} = 180^\circ - 125^\circ = 55^\circ
\]
Therefore, the measure of angle D is \(55^\circ\).
\[
\text{Measure of angle D} = 180^\circ - \text{Measure of angle B} - \text{Measure of angle C}
\]
Substituting the values:
\[
\text{Measure of angle D} = 180^\circ - 83^\circ - 42^\circ
\]
Calculating this gives:
\[
\text{Measure of angle D} = 180^\circ - 125^\circ = 55^\circ
\]
Therefore, the measure of angle D is \(55^\circ\).