8th Class
Mathematics
Practical Geometry
Question Bank
Geometry
question_answer
Two base angles of a triangle ABC are bisected and meet at P. What is the measure of angle BPC if\[{{50}^{o}}\] and\[{{120}^{o}}\].
A) \[\angle A={{80}^{o}}\]
B) \[\angle C={{35}^{o}}\]
C) \[\angle EDB=\]
D) \[{{120}^{o}}\]
Correct Answer:
D
Solution :
Given \[\angle ACB=\angle ADB\] and \[{{65}^{o}}\] Now, \[{{85}^{o}}\] and \[{{30}^{o}}\] are bisected \[{{45}^{o}}\] \[{{60}^{o}}\] and \[{{90}^{o}}\] Find \[\angle x\] \[{{80}^{o}}\] (Sum of angles of \[{{70}^{o}}\] is \[{{60}^{o}}\]) \[{{110}^{o}}\] \[\Delta ABC\] \[{{180}^{o}}\]