Students will be able to:
Determine unknown measures of interior and exterior angles of triangles.
Write and solve algebraic equations to find angle measures.
The sum of the measures of the interior angles of a triangle is 180°.
The measure of an exterior angle of a triangle is equal to the sum of
the measures of the remote interior angles.
INTERIOR ANGLE SUM
The sum of the measures of the interior angles of a triangle is 180°.
m∠1 + m∠2 + m∠3 = 180°
EXTERIOR ANGLE THEOREM
The measure of an exterior angle of a triangle is equal to the sum of the
measures of its remote interior angles.
m∠2 + m∠3 = m∠4
DIAGRAM DESCRIPTION
A triangle has interior angles labeled 1 (at the right base), 2 (at the top),
and 3 (at the left base). Its base extends to the right, forming exterior
angle 4 adjacent to interior angle 1. Angles 2 and 3 are identified as the
remote interior angles relative to exterior angle 4.