Angle Relationships in Triangles

How many pairs of vertical angles are shown in the figure above?

• 2

• 4

• 6

• 8

Tags

CCSS.HSG.CO.C.9

Which of the following pairs of angles have the same measure?

• $\angle1$ and $\angle7$

• $\angle2$ and $\angle3$

• $\angle3$ and $\angle6$

• $\angle4$ and $\angle5$

Tags

CCSS.HSG.CO.C.9

Which of the following terms describes the relationship between  $\angle3$ and  $\angle7$  ?

• Alternate Exterior Angles

• Alternate Interior Angles

• Corresponding Angles

• Vertical Angles 

Tags

CCSS.HSG.CO.C.9

Which of the following pairs of angles are supplementary?

• $\angle1$ and $\angle7$

• $\angle2$ and $\angle6$

• $\angle3$ and $\angle7$

• $\angle5$ and $\angle4$

Tags

CCSS.HSG.CO.C.9

The measure of $\angle1$ is the same as the measure of how many other labeled angles in the figure?

• 1

• 2

• 3

• 4

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

In the figure below j and k are parallel. Suppose that line t was moved so that $\angle2$ had a greater measure. How will the other angle measures change? Select all that apply. 

• The measure of  $\angle1$  will stay the same. 

• The measure of  $\angle6$  will increase.

• The measure of  $\angle7$  will decrease.
  

• The measure of  $\angle4$  will decrease.
  

• The measure of  $\angle5$  will decrease. 

Tags

CCSS.HSG.CO.C.9

Palmer set up an A-frame ladder so that the angle formed between each side of the ladder and the ground is  $125\degree$ 

•  $55\degree$  

•  $60\degree$  

•  $65\degree$  

•  $70\degree$  

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Triangle PQR has  $m\angle P\ =\ 50\degree$  and $m\angle Q=60\degree$ . What is the measure of the exterior angle adjacent to  $\angle R$  ?

•  $70\degree$  

•  $90\degree$  

•  $110\degree$  

•  $130\degree$  

Tags

CCSS.HSG.CO.C.10

Triangle FGH is similar to triangle JKL.  $\angle F$ and  $\angle J$  are corresponding angles.  $\angle F$  and  $\angle J$  are also supplementary angles. Which term best describes  $\Delta FGH$  and  $\Delta JKL$  ?

• Acute Triangles

• Equilateral Triangles

• Obtuse Triangles

• Right Triangles

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Which of the following is a possible set of measures for the exterior angles of a triangle?

**Triangles must add up to  $180\degree$ . Exterior angles and the interior angles of triangles are equal to  $180\degree$ . Find the answer choice that these exterior angles give you the interior angles that 

• 60, 120, 180
  

• 75, 85, 200

• 80, 125, 155

• 120, 130, 140

Tags

CCSS.HSG.CO.C.10