TEST 9
1.
\(m\left(\widehat{BAC}\right)=80^\circ\)
\(m\left(\widehat{ABD}\right)=m\left(\widehat{DBC}\right)\)
\(m\left(\widehat{BCD}\right)=m\left(\widehat{DCA}\right)\)
\(\Rightarrow m\left(\widehat{DAC}\right)=\alpha=?\)
A) \(20\)B) \(25\)C) \(30\)D) \(35\)E) \(40\)
2.
\(m\left(\widehat{BAD}\right)=m\left(\widehat{DAC}\right)=50^\circ\)
\(m\left(\widehat{ACD}\right)=m\left(\widehat{DCB}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{ABD}\right)=\alpha=?\)
A) \(5\)B) \(10\)C) \(15\)D) \(20\)E) \(30\)
3.
\(m\left(\widehat{DAE}\right)=m\left(\widehat{EAK}\right)\)
\(m\left(\widehat{DBE}\right)=m\left(\widehat{EBC}\right)\)
\(m\left(\widehat{ECK}\right)=50^\circ\)
\(\Rightarrow m\left(\widehat{BCA}\right)=\alpha=?\)
A) \(40\)B) \(50\)C) \(70\)D) \(80\)E) \(90\)
4.
\(m\left(\widehat{DAE}\right)=m\left(\widehat{EAK}\right)\)
\(m\left(\widehat{BCE}\right)=m\left(\widehat{ECK}\right)\)
\(m\left(\widehat{ABC}\right)=70^\circ\)
\(\Rightarrow m\left(\widehat{DBE}\right)=\alpha=?\)
A) \(40\)B) \(50\)C) \(55\)D) \(60\)E) \(65\)
5.
\(m\left(\widehat{EBD}\right)=m\left(\widehat{DBC}\right)\)
\(m\left(\widehat{BCD}\right)=m\left(\widehat{DCK}\right)\)
\(m\left(\widehat{ADC}\right)=40^\circ\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(20\)B) \(40\)C) \(50\)D) \(80\)E) \(100\)
6.
\(m\left(\widehat{BAC}\right)=60^\circ\)
\(m\left(\widehat{ABD}\right)=m\left(\widehat{DBK}\right)\)
\(m\left(\widehat{ACD}\right)=m\left(\widehat{DCK}\right)\)
\(\Rightarrow m\left(\widehat{BDC}\right)=\alpha=?\)
A) \(120\)B) \(60\)C) \(45\)D) \(30\)E) \(15\)
7.
\(m\left(\widehat{KAD}\right)=m\left(\widehat{DAB}\right)\)
\(m\left(\widehat{KCD}\right)=m\left(\widehat{DCE}\right)\)
\(m\left(\widehat{DBE}\right)=70^\circ\)
\(\Rightarrow m\left(\widehat{ADC}\right)=\alpha=?\)
A) \(10\)B) \(20\)C) \(40\)D) \(55\)E) \(110\)
8.
\(m\left(\widehat{EAK}\right)=m\left(\widehat{KAD}\right)\)
\(m\left(\widehat{BCK}\right)=m\left(\widehat{KCE}\right)\)
\(m\left(\widehat{AKC}\right)=15^\circ\)
\(\Rightarrow m\left(\widehat{EBK}\right)=\alpha=?\)
A) \(30\)B) \(45\)C) \(60\)D) \(75\)E) \(150\)