Segments and Angles with Algebra (Step-by-Step)

Which of the following equations fits this diagram?

• 5x + 10 + 3x + 8 = 90

• 5x + 10 = 3x + 8

• 5x + 10 + 3x + 8 = 180

Solve for x:

3x + 8 + 5x + 10 = 90

(Type only the number)

3x + 8 + 5x + 10 = 90

...

x = 9

Find the measure of the smallest angle in the diagram.

(Type only the number)

Which of the following equations fits this diagram?

• x + 2 = 9

• x + 2 + 3x - 9 = 9

• x + 2 + 9 = 3x - 9

• x + 2 + 9 = 180

Solve for x:

x + 2 + 9 = 3x - 9

(Type only the number)

x + 2 + 9 = 3x - 9

...

x = 10

Find EG.

(Type only the number)

 $\overline{TP}$  bisects  $\angle UTV$ .  $m\angle1\ =\ 5x+2$  and  $m\angle2=6x-2$ .  
Which of the following equations fits this diagram?

• 5x + 2 + 6x - 2 = 90

• 5x + 2 = 6x - 2

• 5x + 2 + 6x - 2 = 180

• 2(5x + 2) = 6x - 2

 $\overline{TP}$  bisects  $\angle UTV$ .  $m\angle1\ =\ 5x+2$  and  $m\angle2=6x-2$ .  
5x + 2 = 6x - 2

Solve for x.
(Type only the number)

 $\overline{TP}$  bisects  $\angle UTV$ .  $m\angle1\ =\ 5x+2$  and  $m\angle2=6x-2$ .  
5x + 2 = 6x - 2

...
x = 4
Find  $m\angle1$  .
(Type only the number)

 $m\angle FGT=4x+4$  
 $m\angle TGH=49$  
 $m\angle FGH=15x-2$  
Which of the following equations fits this diagram?

• 4x + 4 + 15x - 2 = 49

• 4x + 4 = 15x - 2

• 4x + 4 = 49

• 4x + 4 + 49 = 15x - 2