wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the measure of ADC in the given figure.


A

30

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

45

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

60

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

75

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

60



In ABD,
DAB+BDA+ABD=180
(Sum of all the interior angles of a triangle is 180)

BDA=180DABABDBDA=1806090BDA=30

Since BC = CD, BCD is an isosceles triangle.
CBD=CDB
(Angles opposite to equal sides are equal)

In BCD,
BCD+CBD+CDB=180
(Sum of all the interior angles of a triangle is 180)

BCD+2×CDB=180

120+2×CDB=180

CDB = 1801202

CDB=30

From the figure, we know that,
ADC=ADB+CDB

ADC=30+30

ADC=60


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Properties of a Triangle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon