Vertical Angles (Classwork)
Name________________________________
Name the two pair of vertical angles.
1.___________________
2.___________________
Using the diagram, tell whether the angles are vertical angles. Justify your answer.
3. ∠1 and ∠2
5. ∠1 and ∠3
4. ∠3 and ∠8
6. ∠1 and ∠5
Find the value of x in degrees in each diagram below. Show your thinking.
7.
105
x
8.
3x + 3
108
9.
60
2x +10
10.
2X+6
100
11. The following diagram shows an equilateral triangle. Find the value of X and Z in degrees
and explain your thinking.
12. The following diagram shows an isosceles triangle. Find the value of x in degrees.
13 Find the value of x, y and z in degrees.
14. Find the measure of each angle in degrees.
Key:
1.
2.
3.
4.
5.
6.
7.
8.
Sample Answers JNM and LNK
Sample Answers JNL and MNK
No, adjacent
No, common vertex
Yes
No, no common vertex
105
3x + 3 = 108
3x = 105
x = 35
9. 60 = 2x + 10
50 = 2x
25 = x
10.
2x + 6 = 100
2x = 94
x = 47
11.
X =60
Z = 60
12.
X + 20 =75
X = 55
13.
Y =65
X = 115
Z = 115
14.
K = 150
R = 30
G = 150
N = 30
J = 90
C = 60
D = 30