ABCD is a rhombus such that ∠ACB = 50°. Then, ∠ADB = ?
Answers
Answered by
6
Answer:
40 degrees
Step-by-step explanation:
if it's given that angle ACB is 50 degrees then angle DAC is also equal to 50 degrees by alternate interior angles
then if we consider the triangle with angle AOB , ADO and DAC
here O is on the diagonal
as we know that rhombus diagonal are perpendicular bisectors therefore Angle AOB is 90 degrees
so by angle sum property of triangle all the angles should be 180 degrees
AOB + ADO + DAC=180
90+ADO +50 =180
140+ADO= 180
ADO= 180-140
=40 degrees
hence angle ADB is 40 degrees
Similar questions
Science,
2 months ago
English,
5 months ago
English,
5 months ago
Business Studies,
10 months ago
Business Studies,
10 months ago
English,
10 months ago