Vocabulary
A triangle with exactly two congruent base angles
What is an isosceles triangle?
Two angles in a triangle are each 60°. What is the measure of the third angle?
What is 60°?
In a triangle, the longest side is _________________________ the largest angle.
What is opposite or across?
The sum of the interior angles of a quadrilateral.
What is 360°?
Two sides of an equilateral triangle measure (5x -12) and (3x - 4). Solve for the length of the third side.
What is 8?
Angles that do not share a vertex or corner of a triangle with a given exterior angle
What are remote interior angles?
Two angles in a triangle measure 42° and 101°. What is the measure of the third angle?
What is 37°?
Fill in the conjecture. The measure of the two smallest sides of a triangle must be __________________ than the third side.
What is greater?
The sum of the interior angles of a nonagon
What is 1260°
Two sides of an equilateral triangle measure (3x + 24) and (10x + 3). Solve for the length of the third side.
What is 33?
The angle that is across from the base in an isosceles triangle.
What is vertex angle?
Three angles in a triangle are 30°, 60°, and x + 45°. Solve for x.
What is x = 45?
Fill in the conjecture. The measure of an exterior angle of a triangle is equal to the sum of the ___________________________
What is two remote (interior) angles?
The sum of the exterior angles of any polygon
What is 360°?
One base angle of an isosceles triangle equals (4y -15). the vertex angle equals 7y. Solve for y
What is y = 14?
A 12-sided polygon
What is a dodecagon?
Three angles in a triangle are 20°, 40°, and 2x - 4°, find x.
What is x= 62?
Fill in the conjecture. If a triangle is isosceles, then _______________ are congruent. Hint: Not the sides.
What is base angles?
The measure of one interior angle of a regular hexagon.
What is 120°?
One base angle of an isosceles triangle equals (4x + 1). the vertex angle equals (5x - 4). Solve for the third angle.
What is 57°?
The angle made when a side length is extended outside the polygon.
What is exterior angle?
Three angles in a triangle measure 3x°, 10x°, 5x°. Find x.
What is x = 10?
If a triangle has exactly two congruent base angles, then it must be this type of triangle.
What is isosceles?
Find the value of x when the exterior angles of a pentagon measure: 20°, 100°, 6x°, 7x°, and 3x°
What is x=15?
A base angle in an isosceles triangle equals 46°. Find the measure of the vertex angle.
What is 88°?