1. Based off the above applet, in your own words how can you find the measure of an exterior an angle of a triangle?
If you are given the two non-adjacent (remote) interior angles of a triangle, their sum is equal to the measure of the exterior angle.
[size=150][size=200][b]Triangle Exterior Angle Theorem[/b]:[/size][/size] [size=150]The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent[br]interior angles[/size][br][br][br][br][br][br][br]
2. Using the applet above, what is the relationship between an interior and exterior of triangle at the same vertex?
The interior and exterior angles at the same vertex are SUPPLEMENTARY
Find the measure of angle CAD
3. Find the measure of angle CAD.
Angle CAD = 87. Angle CAD is an exterior angle of triangle ABC. Angle B and Angle C are the remote interior angles (non-adjacent interior angles)[br][br]Angle CAD = Angle B + Angle C[br] = 54 + 33
4. Find the measure of angle A.
Find the measure of Angle A
Angle A = 30.[br]Angle CBE is an exterior angle.[br]Angle CBE = Angle A + Angle C[br]43 = A + 13
5. Find the measure of Angle QRF.
Find the measure of Angle QRF.
Angle QRF = 115. [br]Triangle PQR is isosc. Angle P is the vertex angle so each base angle (PRQ and Q) is 65 (180-50= 130/2).
6. Find the measure of Angle AXY.
Find the measure of Angle AXY.
Angle AXY = 72. [br]Triangle ZXY is isosc. Angle Y is a base angle, so the other base angle angle Z is 36. The exterior angle at vertex X = Angle Z + Angle Y = 36 + 36 = 72
7. An exterior angle at the base of an isosceles triangle is always