Mathematics, 21.01.2021 20:30 MQV2000
In triangle ABC, bisectors of angle A and angle C cross each other in point M. find angle ABC if it is half of AMC. (no shape given)
Answers: 2
![[Kindly\ refer\ the\ image\ attachment.]\\We\ are\ given\ that,\\AM\ is\ the\ Angle\ Bisector\ of\ \angle BAC.\\Hence,\\\angle BAM= \angle MAC\\CM\ is\ the\ Angle\ Bisector\ of\ \angle BCA.\\Hence,\\\angle BCM= \angle MCA.\\Also,\\\angle AMC=2 \angle ABC](/tpl/images/1052/8834/69ebd.png)
![Now,\\As\ we\ can\ observe\ that,\\\angle BCM + \angle MCA= \angle BCA\\\angle MCA+ \angle MCA= \angle BCA\ [\angle BCM = \angle MCA]\\Hence,\\2 \angle MCA= \angle BCA\\Or, \\\angle MCA=\frac{\angle BCA}{2} \\\\Similarly,\\\angle BAM + \angle MAC= \angle BAC\\\angle MAC + \angle MAC= \angle BAC\\2 \angle MAC = \angle BAC\\Or,\\\angle MAC=\frac{\angle BAC}{2}](/tpl/images/1052/8834/67012.png)
Another question on Mathematics
Mathematics, 21.06.2019 19:00
What are the solutions of the system? solve by graphing. y = -x^2 -6x - 7 y = 2
Answers: 2
Mathematics, 21.06.2019 21:40
The graph of f(x) = |x| is transformed to g(x) = |x + 11| - 7. on which interval is the function decreasing?
Answers: 3
Mathematics, 22.06.2019 01:00
Which angle has the same measure as the dehedral angle formed by the orange face and the purple rectangle
Answers: 1
Mathematics, 22.06.2019 02:00
The statement tan theta= -12/5, csc theta=-13/12, and the terminal point determained by theta is in quadrant two
Answers: 3
You know the right answer?
In triangle ABC, bisectors of angle A and angle C cross each other in point M. find angle ABC if it...
Questions
Mathematics, 16.06.2020 22:57
History, 16.06.2020 22:57
Health, 16.06.2020 22:57
History, 16.06.2020 22:57
Chemistry, 16.06.2020 22:57
Mathematics, 16.06.2020 22:57
Mathematics, 16.06.2020 22:57
History, 16.06.2020 22:57
Mathematics, 16.06.2020 22:57
