Question

If the measure of b is 80 degrees and the measure of e is 115 degrees, what must be the measure of c? Explain and show your work.

Answer 1

To find the measure of c in the triangle, we can use the fact that the angles in a triangle add up to 180 degrees. Therefore, the measure of the angle from the given triangle is 35 degrees.

Step-by-step explanation:

The measure of b is 80 degrees and the measure of e is 115 degrees

b=80 degrees e=115 degrees

Here, a+e=180 degrees (Linear pair of angles)

115+e=180

e=180-115

e=65 degrees

a+b+c=180 degrees (Angle sum property of triangles)

65+80+c=180

145+c=180

c=180-145

c=35 degrees

Therefore, the measure of the angle from the given triangle is 35 degrees.