|
Reviewing the Triangle Sum Theorem The sum of the angles for any triangle is 180 degrees. If we know two angles, we can total and subtract from 180 to get the missing angle. Find the missing angle measurement. 23 o o 39 o 180 - 62 118 39 + 23 62The sum of the angles for any triangle is 180 degrees. If we know two angles, we can total and subtract from 180 to get the missing angle. Find the missing angle measurement. 40º º Exterior Angles of Triangles x + 13 + 77 = 180 x = 13 + 77 x = 77 + 90 Theorem: A measure of an exterior angle of a triangle equals the sum of the measures of the two non-adjacent interior angles. Which equation is correct? xº 13º 77º Exterior Angle Theorem: A measure of an exterior angle of a triangle equals the sum of the measures of the two non-adjacent interior angles. Find the measure of the exterior angle of the triangle. o 103º 51º Exterior Angle Theorem: A measure of an exterior angle of a triangle equals the sum of the measures of the two non-adjacent interior angles. Find the measure of the exterior angle of the triangle. o º 95º 65º Exterior Angle Theorem: A measure of an exterior angle of a triangle equals the sum of the measures of the two non-adjacent interior angles. Find the measure of the interior angle of the triangle. 165º 88º o Find the measure of the interior angle of the triangle. Exterior Angle Theorem: A measure of an exterior angle of a triangle equals the sum of the measures of the two non-adjacent interior angles. 16º o 108º Find the measure of the interior angle of the triangle. Exterior Angle Theorem: A measure of an exterior angle of a triangle equals the sum of the measures of the two non-adjacent interior angles. 158º 82º o Exterior Angle Theorem: A measure of an exterior angle of a triangle equals the sum of the measures of the two non-adjacent interior angles. Solve for x. 2x + 60 105º x = xº º Find the measure of angle ∠ECB. B E (x – 25)º 30º C m∠ECB = 40º A º |