CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In. triangle ABC, B =144o and C =124o.
Calculate smallest angle of the triangle.

A
36o
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
56o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
46o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 36o
Given, A+B=144 ...(I)
Also, A+C=124 ...(II).

In ABC,
A+B+C=180o ..... [By angle sum property].

Add (I) and (II),
A+B+A+C=144o+124o.

Substitute (I),
180o+A=268o
A=268o180o
A=88o ...(III).

Substitute (III) in (I),
A+B=144o
88o+B=144o
B=56o ...(IV).

Substitute (III) in (II),
A+C=124o
88o+C=124o
C=36o ...(V).

From (III), (IV) and (V),
we get, the smallest angle of the ABC is C=36o.

Hence, option A is correct.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angles and Types of Angles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon