Angles Practice
3.
4.
Assignment: CC 8.G.5 (Set 4)
1.
m∠APE + m∠CQF = 90
m∠APE + m∠CQF = 180
4.
If the measure of an exterior angle of one of
the base angles in an isosceles triangle is
110°, what is the measure of the vertex
angle?
1.
2.
3.
4.
In the diagram:
and
is a
transversal. If m∠JLB = 6x - 7 and m∠LJD
= 7x + 5, what is the value of x?
1.
2.
3.
4.
-2
6
7
14
20°
40°
55°
70°
5.
In the diagram of ΔABC,
is extended to
E and D, exterior angle CBD measures 130°,
and m∠C = 75.
2.
In ΔMEC, an exterior angle at C measures
115°, and the measure of ∠M is 60°. Which
is the shortest side of ΔMEC?
1.
2.
3.
Find m∠CAE.
1.
2.
3.
4.
3.
55
75
125
135
6.
In right triangle ABC, ∠C is a right angle
and m∠B = 60. What is the ratio of m∠A to
m∠B?
In the diagram: Parallel lines
and
are cut by transversal
at P and Q,
respectively. Which statement must always
be true?
1.
2.
m∠APE = m∠CQF
m∠APE < m∠CQF
1.
2.
3.
4.
1:3
1:2
2:1
3:1
7.
10.
In ΔABC, m∠A = 3x + 40, m∠B = 8x + 35,
and m∠C = 10x. Which is the longest side of
the triangle?
If the measures of the angles in a triangle are
in the ratio 3:4:5, the measure of an exterior
angle of the triangle can not be
1.
2.
3.
4.
1.
2.
3.
165°
135°
120°
105°
8.
11.
One angle of a triangle measures 30°. If the
measures of the other two angles are in the
ratio 3:7, the measure of the largest angle of
the triangle is
In the diagram, parallel lines
and
intersected by
at E and F,
respectively. If m∠BEF = 5x − 10 and
m∠CFE = 4x + 20, find x.
1.
2.
3.
4.
1.
2.
3.
4.
are
9
18
25
30
15°
105°
126°
147°
12.
In ΔABC, m∠A = 40 and the measure of an
exterior angle at vertex B is 120°. Which
side is longest in ΔABC?
9.
1.
2.
3.
13.
In the diagram of isosceles triangle ABC, CA
= CB and ∠CBD is an exterior angle formed
by extending
to point D. If m∠CBD =
130, find m∠C.
1.
2.
3.
4.
In ΔABC, m∠A = 41 and m∠B = 48. What
kind of triangle is ΔABC?
1.
2.
3.
4.
45
50
65
80
14.
right
obtuse
isosceles
acute
In ΔABC, m∠B > m∠C and m∠C > m∠A.
Which side of ΔABC is longest?
1.
2.
3.
The measure of a base angle of an isosceles
triangle is 4 times the measure of the vertex
angle. The number of degrees in the vertex
angle is
1.
2.
3.
4.
15.
20
30
36
135
18.
In the diagram of ΔABC,
is extended to
D, m∠B = 2y, m∠BCA = 6y, and m∠ACD =
3y. What is m∠A?
1.
2.
3.
4.
In the diagram, ΔABC is isosceles,
is
extended to D,
≅
, and m∠A =
80. Find m∠ACD.
1.
2.
3.
4.
15
17
20
24
50
80
110
130
19.
16.
In ΔPEN, m∠P = 40 and m∠N = 80. Which
side of the triangle is longest?
1.
2.
3.
In the diagram, parallel lines l and m are cut
by transversal t. Which statement is true?
1.
2.
3.
4.
17.
20.
3
m∠1 + m∠2 + m∠5 = 360
m∠1 + m∠2 + m∠3 = 180
m∠1 + m∠2 = m∠2 + m∠3
m∠1 + m∠3 = m∠4 + m∠5
In the diagram, line l is parallel to line m and
line t is a transversal. If m∠1 = 2x + 20 and
m∠2 = 4x + 10, what is the number of
degrees in ∠3?
1.
2.
3.
4.
25
40
70
110
24.
In ΔABC, m∠A is three times m∠B. An
exterior angle at vertex C measures 100°.
What is m∠B?
1.
2.
3.
4.
21.
The measure of one angle of a triangle
equals the sum of the measures of the other
two angles. Find the number of degrees in
the measure of the largest angle of the
triangle.
1. 70
2. 80
3. 90
4. 100
22.
Which statement about two equilateral
triangles is always true?
1.
2.
3.
4.
They are similar.
They are congruent.
They are equal in area.
They have congruent altitudes.
23.
In the diagram of ΔABC, if AB < BC < AC,
then which statement is false?
1.
2.
3.
4.
m∠A > m∠C
m∠A < m∠B
m∠B > m∠C
m∠B < m∠A
25
65
75
80
25.
In ΔABC, m∠A = 3x, m∠B = 4x - 19, and
m∠C = 3x - 1. Which statement is true?
1.
is the longest side of ΔABC.
2. ΔABC is an isosceles triangle.
3.
is the longest side of ΔABC.
4. ΔABC is an obtuse triangle.