Unit 4 Interior & Exterior Angles of Triangles-DISCOVERY

Step 1) Click the TRIANGLE BUTTON to create triangle A, B, C, Step 2) Click the Text Button to label the vertices ABC

Interior Angle Sum

[b]Step 3)[/b] Click the [b]ANGLE BUTTON[/b], and Click to find all 3 [b]interior angles[/b] of your triangle.[br][b]Record [/b]the measure for each angle [br]m

[b]Step 4) [/b] Find the sum of the three angles. Record your answer here.[br]

[b]Step 5[/b]) Switch up your triangle![i][b]Click the arrow button [/b](which allows you to move a vertex) [b] Drag [/b]each vertex [/i]and [b]change[/b] the angle measurements. [br] [b]As you change the Triangle's interior angles, what do you notice about the sum of all 3 angles?[br][/b](THEY ALWAYS ADD UP TO......)

[b]Step 5 [/b]Challenge: Try to create Whole Number Integers (No Decimal) angle measurements! It's not easy![br][b]How many interior angle measurements were you able to create without Decimals?[/b]

2 angle measurements with Integers Only (No decimals) I created ALL 3 Angles with whole number measurements! 1 angle measurement with Integers Only (No decimals)

[b]The Angle Sum Theorem states: The sum of the measures of the angles in a triangle is ______[math]^\circ[/math][/b] Please refer to pg. 4 in your notes if needed!

Step 6) Using the new Triangle ABC, Find the Tool To measure ALL THE INTERIOR ANGLES.

[code][/code][b]Step 6)[/b] [b]Click the Angle Measure Button[/b], then [b]click the INSIDE of the triangle,[/b] find ALL interior angle measurements. [br][br][b]Write down a[/b]ll the measurements on your paper[b], find [/b]the measure of Angle A[code][br][br][/code]

m< A=50 degrees m< A= 71.5 degrees m <A= 58.5 degrees

[b]Step 7) Find the m< C[/b]

50[math]^\circ[/math] 71.5[math]^\circ[/math] 58.5[math]^\circ[/math]

The Sum of the Two Remote Interior= Exterior

[b]Step 8)[/b] Find the sum of m< A + m < C= Exterior Angle[br][br][math]71.5+58.5=?[/math]

180 degrees 130 degrees 50 degrees

Step 10) Exterior Angles: Angles on the Outside of the triangle Find the measure of EXTERIOR ANGLE <DBC

130 degrees

Step 9) Exterior Angles: Angles on the Outside of the triangle Find the measure of EXTERIOR ANGLE <DBC (Click the measuring icon, and click Vertex D, B and Then C)

Step 10) What is another way you could find the measure of[b] [color=#38761d]Angle DBC?[/color][/b][br]*Think Supplementary

Step 11) FInd the measurements of the other two EXTERIOR Angles using the angle measurement tool. [br]What do you notice?[br][b]Write measurements down. [/b]