8-G.5 Assessment

Click each choice that shows why the sum of the angles XYZ is  $180\degree$  

•  $180\degree$ is the sum of angles a,b,and c.  They are supplementary angles because they form a straight line.

• Angles y,b,and z must have a sum of  $180\degree$  because angles a,b,and c are supplementary and y =a and z=c so angles y,b,and z are also supplementary.
  

• Because angle b is shared by both the straight line and the triangle.

• Angle z is equal to angle c because they are alternate interior angles.  Angle a is equal to angle y because they are alternate interior angles

• Angle y is equal to angle a because they are alternate interior anlgles

chose 1 answer

• 40 + 90

• x = 90

• 90 + x = 40

• 40 - x = 90

• a = 45 b = 50

• a = 45 b = 85

• a = 50 b = 85

• a = 75 b = 75

• they are similar

• they are congruent

• they are both right triangles

• they have only 2 congruent angles

• If 2 angles are congruent then all are congruent

What is the sum of the interior angles of all triangles?

 $\angle1\ =\ 45\degree$  what is the measure of angle 4 and how do you know?

• angle 4 = 45 because they are adjacant angles

• angle 4 = 45 because they are vertical angles

• angle 4 = 45 because they are alternate angles

• angle 4 = 50 because they are not congruent

 $\angle1\ and\ \angle8$  are what type of angles?

• corresponding  angles

• adjacent  angles

• alternate interior  angles

• alternate exterior angles

 $\angle4\ and\ \angle5\$  are _______   __________  angles

• alternate exterior

• alternate interior

• same side

• not equal

 $\angle7\ and\ \angle8$  are _______ angles

• opposite

• adajacent 

• vertical

• alternate

 $\angle5\ and\ \angle6$  are ______ angles

• opposite

• adjacent

• vertical

• congruent

• supplementary