Question

If the measure of angle I V E space equals space 50 degree and the measure of angle V I E space equals space 70 degree , find the degree measure of angle T E I .

Answer 1

Based on the diagram shown below, the measure of the exterior angle TEI is 120°.

In Mathematics and Euclidean Geometry, the exterior angle theorem or postulate states that the measure of an exterior angle in a triangle is always equal in magnitude to the sum of the measures of the two remote or opposite interior angles of that triangle.

By applying the exterior angle theorem, we can reasonably infer and logically deduce that the sum of the measure of the two interior remote or opposite angles in the given triangle is equal to the measure of angle TEI (∠TEI);

∠TEI = ∠IVE + ∠VIE

∠TEI = 50° + 70°

∠TEI = 120°

Complete Question:

If the measure of ∠IVE=50° and the measure of ∠VIE=70°, find the degree measure of ∠TEI