Download Worksheet 3-5 In #1-6, find the missing angles in each. 1. m<1 = 2

Scholarship Geometry
Worksheet 3-5
Name:
In #1-6, find the missing angles in each.
1. m<1 =
2. m<1 =
3. m<1 =
4. m<1 =
5. m<2 =
6. m<3 =
m<4 =
In #7-9, find the value of each variable.
7. x =
8. x =
y=
y=
z=
9. a =
b=
In #10-12, use the given information to find the unknown angle measures in the triangle.
10. The ratio of the angle measures of the acute angles in a right triangle is 1:2.
(over)
11. The measure of one angle of a triangle is 40. The measures of the other two angles
are in a ratio of 3:4.
12. The measure of one angle of a triangle is 108. The measures of the other two angles
are in a ratio of 1:5
In #13-17, find the variable and the measures of the angles. Show work when algebra is
involved.
13. x =
m<P =
m<Q =
m<R =
14. x =
m<A =
m<B =
15. a =
c=
b=
d=
16. x =
y=
z=
e=
17. x =
m<K =
m<L =
m<M =
In #18-21, find each angle measure.
18. m<UXW =
19. m<UWY =
20. m<WZX =
21. m<XYZ =
use for #18-21
22. Two angles of a triangle measure 64 and 48. What is the measure of the largest exterior angle of
the triangle? Explain with words how you know this.
23. A right triangle has exterior angles at each of its acute angles with measures in the ratio 13:14.
Find the measures of the two acute angles of the right triangle. Show your work.
24. In the figure, CD  AB and CD bisects <ACB.
Find m<DBF. Show your work.