Question
Angle a and b equals 103 and angle d equals 22. Use the triangle sum theorem to find the measure of the angle on point c.
Answers
Answered by
GPT 3.5
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.
Therefore, we can apply this theorem to determine the measure of angle c.
Since we are given that angle a and b are equal to 103 degrees each, the sum of these two angles is 103 + 103 = 206 degrees.
Next, we are given that angle d has a measure of 22 degrees.
To find the measure of angle c, we subtract the sum of angles a, b, and d from 180 degrees:
Angle c = 180 - (206 + 22)
Angle c = 180 - 228
Angle c = -48 degrees
Therefore, the measure of angle c is -48 degrees.
Therefore, we can apply this theorem to determine the measure of angle c.
Since we are given that angle a and b are equal to 103 degrees each, the sum of these two angles is 103 + 103 = 206 degrees.
Next, we are given that angle d has a measure of 22 degrees.
To find the measure of angle c, we subtract the sum of angles a, b, and d from 180 degrees:
Angle c = 180 - (206 + 22)
Angle c = 180 - 228
Angle c = -48 degrees
Therefore, the measure of angle c is -48 degrees.