Review Topic Triangle Sum and Exterior Theorem

Review Topic Triangle Sum and Exterior Theorem

Write two equations relating the measure of

 $\angle4$  to the measures of  $\angle1,\ \angle2,\ and\ \angle3$  

• m $\angle4=m\angle2+m\angle3$  

•  $m\angle4=180-m\angle1$  

Multiple Select

Write two equations relating the measure of

∠4 to the measures of ∠1, ∠2, and ∠3

• $m\angle4=m\angle1+m\angle2$

• $m\angle4=m\angle2+m\angle3$

• $m\angle4=180-m\angle2$

• $m\angle4=180-m\angle3$

What is x

• x=180-43-75

• 62

Multiple Choice

What is x?

• 34

• 126

• 54

• 134

What is y

• So x was 62 from the last problem

• 180-62

• 118

Open Ended

What is y?

Which of the following statement are true?

• x=y

• x+y =180

• y=z

• x+z=180

Multiple Select

Which is of the following statements are true? Select all that apply.

• x=y

• x+y=180

• y=z

• x+z=180

In $\Delta$  DEF, m $\angle D=53$  and m $\angle F=68$  

What is m $\angle E?$  

Sum of the angles in a triangle is 180 degrees. 

So 180-53-68=59

Multiple Choice

In ΔDEF, m ∠D=35 and m ∠F=88

What is m ∠E?

• 53

• 123

• 57

• 237