Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Points and are collinear with between and
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
Points
B
,
C
,
B, C,
B
,
C
,
and
D
D
D
are collinear with
C
C
C
between
B
B
B
and
D
D
D
. Triangle
A
B
C
ABC
A
B
C
is drawn on one side of line
B
D
BD
B
D
and triangle
A
C
D
ACD
A
C
D
on the other side. If
∠
B
A
C
=
45
∘
\angle BAC = 45^\circ
∠
B
A
C
=
4
5
∘
,
∠
A
B
C
=
56
∘
\angle ABC = 56^\circ
∠
A
B
C
=
5
6
∘
, and
∠
A
D
C
=
68
∘
\angle ADC = 68^\circ
∠
A
D
C
=
6
8
∘
, find
∠
C
A
D
\angle CAD
∠
C
A
D
. (a)
34
∘
34^\circ
3
4
∘
(b)
45
∘
45^\circ
4
5
∘
(c)
11
∘
11^\circ
1
1
∘
(d)
23
∘
23^\circ
2
3
∘
Related theory
Lines and Angles
Properties of Triangles
Triangle Properties
Triangle inequalities
Triangles
Browse the problem library