Question 1

$\angle1$ and $\angle2$ are supplementary. If $m\angle1=2x+15$ and $m\angle2=x$ , find the measure of $\angle2$ . [HINT: Draw a diagram!]

Accepted Answer

55

Answer

120

Answer

125

Answer

50

Question 2

$\angle1$ is the angle bisector of $\angle2$ . If $m\angle1=2x+15$ and $m\angle2=x$ , what is $\angle2$ ?

Accepted Answer

58

Answer

110

Answer

9

Answer

116

Question 3

If $m\angle{TRS}=3x$ and $m\angle{QRT}=9x$ , find $m\angle{TRS}$ and $m\angle{QRT}$ .

Accepted Answer

$\angle1$ and $\angle2$

Answer

$\angle1$ and $\angle2$

Answer

$\angle1$ and $\angle2$

Answer

$\angle1$ and $\angle2$

Question 4

In the diagram of △ABC, $m\angle{QRT}=9x$ . Find the value of x and the measure of y.

Accepted Answer

x = 5, y = 52

Answer

x = 5, y = 76

Answer

x = 52, y = 5

Answer

x = 64, y = 52

Question 5

In the diagram of △ABC, AC = 3y +8 and CB = 6y + 2. What is the perimeter of △ABC?

Accepted Answer

42

Answer

2

Answer

180

Answer

14

Question 6

In the accompanying diagram, line a intersects line b. What is the value of x?

Accepted Answer

10

Answer

5

Answer

-10

Answer

90

Question 7

In the accompanying diagram, $m\angle{TRS}=3x$ bisects ∠RST. Find the value of the m∠RST.

Accepted Answer

freetext://72

Question 8

In the diagram, point M is the midpoint of $m\angle{QRT}=9x$ . If AM = 2x + 5 and AC = 7x - 2, find the length of $\overline{AC}$ .

Accepted Answer

freetext://26

Question 9

In the image, $m\angle{TRS}=3x$ and which angle are vertical angles?

Accepted Answer

<math>\angle3</math>

Answer

<math>\angle4</math>

Answer

<math>\angle2</math>

Question 10

Refer to the image to sort the angles into supplementary and vertical to $m\angle{TRS}=3x$ .

Accepted Answer

sorting://supplementary| $m\angle{TRS}=3x$ , $m\angle{QRT}=9x$ : vertical| $m\angle{TRS}$

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