TEST 11
1.
\(\lvert BC\rvert=\lvert CA\rvert=\lvert AD\rvert\)
\(m\left(\widehat{BAC}\right)=35^\circ\)
\(\Rightarrow m\left(\widehat{CAD}\right)=\alpha=?\)
A) \(40\)B) \(45\)C) \(50\)D) \(55\)E) \(60\)
2.
\(\lvert CA\rvert=\lvert AD\rvert\)
\(m\left(\widehat{ABD}\right)=30^\circ\)
\(m\left(\widehat{CAD}\right)=80^\circ\)
\(\Rightarrow m\left(\widehat{EAD}\right)=\alpha=?\)
A) \(55\)B) \(60\)C) \(65\)D) \(70\)E) \(80\)
3.
\([BC]\perp[AC]\)
\(m\left(\widehat{ABD}\right)=m\left(\widehat{DBC}\right)\)
\(m\left(\widehat{ADB}\right)=112^\circ\)
\(\Rightarrow m\left(\widehat{BAC}\right)=\alpha=?\)
A) \(30\)B) \(38\)C) \(42\)D) \(46\)E) \(48\)
4.
\(\lvert BD\rvert=\lvert DC\rvert\)
\(m\left(\widehat{ADC}\right)=108^\circ\)
\(m\left(\widehat{DCA}\right)=m\left(\widehat{ACE}\right)\)
\(\Rightarrow m\left(\widehat{BAC}\right)=\alpha=?\)
A) \(9\)B) \(18\)C) \(19\)D) \(20\)E) \(24\)
5.
\(\lvert AC\rvert=\lvert DC\rvert\)
\(m\left(\widehat{ABC}\right)=30^\circ\)
\(m\left(\widehat{BAD}\right)=m\left(\widehat{BCA}\right)\)
\(\Rightarrow m\left(\widehat{DAC}\right)=\alpha=?\)
A) \(110\)B) \(100\)C) \(80\)D) \(70\)E) \(60\)
6.
\(\lvert BD\rvert=\lvert DC\rvert\)
\(m\left(\widehat{ABC}\right)=38^\circ\)
\(\Rightarrow m\left(\widehat{BAD}\right)=m\left(\widehat{DAC}\right)=\alpha=?\)
A) \(32\)B) \(48\)C) \(46\)D) \(52\)E) \(90\)
7.
\(m\left(\widehat{ABC}\right)=40^\circ\)
\(m\left(\widehat{BCE}\right)=150^\circ\)
\(m\left(\widehat{BAD}\right)=m\left(\widehat{DAE}\right)\)
\(\Rightarrow m\left(\widehat{BDA}\right)=\alpha=?\)
A) \(60\)B) \(70\)C) \(75\)D) \(80\)E) \(85\)
8.
\(\lvert BE\rvert=\lvert ED\rvert\)
\(\lvert AD\rvert=\lvert DC\rvert\)
\(m\left(\widehat{BAD}\right)=20^\circ\)
\(m\left(\widehat{EDA}\right)=80^\circ\)
\(\Rightarrow m\left(\widehat{DAC}\right)=\alpha=?\)
A) \(30\)B) \(40\)C) \(50\)D) \(60\)E) \(70\)