Download Honors Geometry Page 1 Unit 4 Angles What`s the Angle? Find the

Honors Geometry
Unit 4 Angles
Name________________________
Date_________________________
What’s the Angle?
Find the value of each variable and the measure of each angle.
6. x = 9
36
2x+60
9x+18
6x
1.
x=6
2. x = 18
7.
x=9
4x-12
7x-7
2x
5x-11
x = 11
8. x = 11
3x-4
3.
11x-9
3x+35
7x-16
c = 15, d = 40
8x+29
7x+16
3d
4c
4. x = 9
23x-19
5.
AngleSystems.doc
7c-45
9.
10. x = 3 y = 19.857
2x+7y
14x+17
x=4
9x+8
5x+20
Mr. John Cendrowski
Lower Moreland HS
Honors Geometry
Unit 4 Angles
11.
15°
Page 2
The measure of the complement of an angle is five times the
measure of the angle. Find the measure of the angle.
12. Find the measure of an angle whose measure is 30° more than
the measure of its supplement.
105°
13. The measures of two angles that are complementary are in the
ratio of 7:3. Find the measure of each angle.
63°, 27°
14. The measure of the complement of an angle exceeds the
measure of the angle by 28°. Find the measure of the angle.
59°
15. The measure of an angle is 24° less than the measure of its
supplement. Find the measure of the angle.
78°
16. The measure of the supplement of an angle is 60° more than
twice the measure of the angle. Find the measure of the angle.
40°
17. The difference between the measures of two supplementary
angles is 72°. Find the measure of both angles.
54°, 126°
AngleSystems.doc
Mr. John Cendrowski
Lower Moreland HS
Honors Geometry
Unit 4 Angles
Page 3
18. The measure of the supplement of an angle exceeds four times
the measure of the complement by 30°. Find the measure of
the original angle.
70°
19. Four times the complement of an angle is 60 more than half the
measure of the supplement of the angle. Find the measure of
the angle.
60°
20. The measures of a linear pair of angles are given by the
expressions (6n  12) and (4n  8) . Find the measure of the
smaller of the two angles.
72°
21. Two angles form a linear pair. The measure of the smaller is
one-third of the measure of the greater angle. Find both
angles.
45°, 135°
22. Determine the measure of the angle formed by the bisectors
of a pair of angles that are both adjacent and supplementary.
90°
23. Two angles of a triangle measure 50° and 70°. Find the
measure of the obtuse angle formed by the bisectors of these
angles.
120°
AngleSystems.doc
Mr. John Cendrowski
Lower Moreland HS
Honors Geometry
Unit 4 Angles
Page 4
24. The measures of two angles of a triangle are in the ratio of 2:3.
The measure of the third angle is 40 more than the measure of
the smaller of the two angles. Find the measure of each angle.
40°, 60°, 80°
25. The measures of the angles of ABC are represented by (3x)°,
( 4x  30 )°and ( 3x  10 )°. Find the value of x and the measures
of the three angles.
X = 20
60°, 50°, 70°
26. The measures of the angles of ΔGHI are represented by
(3x +18)°,(4x + 9)°, and (10x)° . Find the value of x and the
measures of the three angles. What kind of triangle is ΔGHI ?
X=9
45°, 45°, 90°
∆GHI is an isosceles right triangle
27. The measures of DEF are represented by (4x  6) ,
5
(2x  12) , ( x ) . Find the value of x and the measures of the
4
three angles. What kind of triangle is DEF ?
x = 24
60º, 30º, 90º
right triangle
28. The measures of the angles of JKL are represented by
(x  35) , (2x  10) , and (3x  15) . Find the value of x and the
measures of the three angles. What kind of triangle of JKL .
60º, equilateral triangle
AngleSystems.doc
Mr. John Cendrowski
Lower Moreland HS