Practice Working With Triangles
Name:
1.
2.
3.
Date:
In the accompanying diagram, mOA = 2x 30,
mOB = x, and mOC = x + 10. Find the number of
degrees in OB.
In ^ABC, the measure of OB is 13 more than the
measure of OA, and the measure of OC is 9 less
than twice the measure of OA. Find the measure
of each angle in ^ ABC. [Only an algebraic
solution will be accepted.]
4.
Two angles are supplementary. If one of these
angles measures 50 more than the other, nd the
measure of the smaller angle.
5.
If the measure of the angles of a triangle are
represented by 2x, 4x, and 6x, then the triangle is
6.
A.
right
B.
obtuse
C.
acute
D. equiangular
If the three angles of a triangle are represented by
(x + 30) , (4x + 30) , and (10x 30) , the triangle
must be
A.
obtuse
B.
isosceles
C.
right
D. scalene
!
In the accompanying diagram, lines JK and
!
LM intersect at N, mOJNL = 6x 74, and
mOMNK = 2x + 30. What is the value of x ?
7.
page 1
In ^QRS, mOQ = x, mOR = 8x 40, and
mOS = 2x. Which type of triangle is ^QRS ?
A.
isosceles
B.
right
C.
acute
D. obtuse
8.
If the measures of the angles of a triangle are in
the ratio 1 : 3 : 5, the number of degrees in the
measure of the smallest angle is
A.
9.
10
B.
20
C.
60
10.
In the diagram below of ^ACD, B is a point on
AC such that ^ ADB is an equilateral triangle, and
^DBC is an isosceles triangle with DB = BC.
Find mOC.
D. 180
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
A.
15
B.
105
C.
126
D. 147
page 2
Practice Working With Triangles
Problem-Attic format version 4.4.420
c 2011–2020 EducAide Software
_
Licensed for use by Vincia Richardson
Terms of Use at www.problem-attic.com
Practice Working With Triangles
1.
Answer:
Points:
50
1
2.
Answer:
Points:
44, 57, 79
1
3.
Answer:
Points:
26
1
4.
Answer:
Points:
65
1
5.
Answer:
Points:
A
1
6.
Answer:
Points:
B
1
7.
Answer:
Points:
D
1
8.
Answer:
Points:
B
1
9.
Answer:
Points:
B
1
10.
Answer:
Points:
30
1
10/7/2021