1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Angle between Two Lines
Observe the g...
Question
Observe the given figure and find the value of unknown angles x and y.
A
x = 72°, y = 22°
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x = 72°, y = 40°
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
x = 112°, y = 40°
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x = 112°, y = 22°
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
x = 72°, y = 40°
Given:
∠AOE = 40°
∠DOB = 68°
For finding angle y:
∠AOE and ∠BOF are vertical angles.
So, ∠AOE = ∠BOF
∴ y = 40°
For finding angle x:
We know,
∠AOB = 180° (straight angle)
So,
∠
A
O
E
+
∠
E
O
D
+
∠
D
O
B
=
180
∘
⇒
40
∘
+
∠
E
O
D
+
68
∘
=
180
∘
⇒
∠
E
O
D
=
180
∘
−
(
40
∘
+
68
∘
)
⇒
∠
E
O
D
=
72
∘
∠EOD and ∠COF are vertical angles.
So, ∠EOD = ∠COF
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->
∴ ∠COF = x = 72°
So, value of x = 72° and
value of y = 40°.
Suggest Corrections
0
Similar questions
Q.
Observe the given figure and find the value of unknown angles x and y.
Q.
Find the value of the unknown angle in the figure given below.
Q.
Find the unknown angles
x
,
y
and
z
of the following figure.
Q.
Observe the given figure and find the value of
∠
R
.
Q.
Find the values of the unknowns
x
and
y
in the figure (i).
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Tango With Straight Lines !!
MATHEMATICS
Watch in App
Explore more
Angle between Two Lines
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app