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. \[{{120}^{o}}\]