In ΔABC, a point D is on AC such that AB = AD. If ∠ABC – ∠ACB = 40°, then find the measure of ∠CBD
Answers
Answered by
3
Answer:
so this is be the answer for your question
Attachments:
Answered by
1
Given : ΔABC, a point D is on AC such that AB = AD. If ∠ABC – ∠ACB = 40°
To find : measure of ∠CBD
Solution:
AB = AD
=> ∠ABD = ∠ADB
∠ADB = ∠CBD + ∠DCB
∠DCB = ∠ACB as D lies on AC
=> ∠ADB = ∠CBD + ∠ACB
∠ADB = ∠ABD = ∠ABC - ∠CBD
=> ∠ABC - ∠CBD = ∠CBD + ∠ACB
=> ∠ABC - ∠ACB = 2 ∠CBD
∠ABC - ∠ACB = 40° given
=> 40° = 2∠CBD
=> ∠CBD = 20°
measure of ∠CBD = 20°
Lear more:
Two angles are vertical in relation. One angle is 2y and the other ...
https://brainly.in/question/14905600
Angle ABD measures (4x + 10)o. Angle ACD measures (5x − 2)o ...
https://brainly.in/question/16645250
Similar questions