TEST 10
1.
\(m\left(\widehat{EDC}\right)=40^\circ\)
\(m\left(\widehat{ABC}\right)=80^\circ\)
\(m\left(\widehat{FED}\right)=50^\circ\)
\(m\left(\widehat{BCD}\right)=160^\circ\)
\([FA]\perp[AB]\)
\(\Rightarrow m\left(\widehat{AFE}\right)=\alpha=?\)
A) \(40\)B) \(50\)C) \(60\)D) \(70\)E) \(80\)
2.
\(m\left(\widehat{ABC}\right)=50^\circ\)
\(m\left(\widehat{AFG}\right)=100^\circ\)
\(m\left(\widehat{CDK}\right)=m\left(\widehat{KDG}\right)\)
\(\Rightarrow m\left(\widehat{AEK}\right)=\alpha=?\)
A) \(60\)B) \(70\)C) \(75\)D) \(80\)E) \(85\)
3.
\(m\left(\widehat{ABE}\right)=120^\circ\)
\(m\left(\widehat{BEF}\right)=100^\circ\)
\(m\left(\widehat{AGD}\right)=m\left(\widehat{DGF}\right)\)
\(\Rightarrow m\left(\widehat{BCD}\right)=\alpha=?\)
A) \(110\)B) \(100\)C) \(80\)D) \(60\)E) \(50\)
4.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABC}\right)=130^\circ\)
\(m\left(\widehat{BCD}\right)=50^\circ\)
\(\Rightarrow m\left(\widehat{CDE}\right)=\alpha=?\)
A) \(130\)B) \(100\)C) \(90\)D) \(80\)E) \(70\)
5.
\(d_1\parallel d_2\)
\([BD]\perp[DE\)
\(m\left(\widehat{EDF}\right)=n\)
\(m\left(\widehat{ABC}\right)=8n\)
\(m\left(\widehat{CBD}\right)=3n\)
\(\Rightarrow n=?\)
A) \(9\)B) \(20\)C) \(25\)D) \(30\)E) \(35\)
6.
\(d_1\parallel d_2\parallel d_3\)
\(4m\left(\widehat{BCD}\right)=3m\left(\widehat{DCE}\right)\)
\(m\left(\widehat{ABC}\right)=70^\circ\)
\(\Rightarrow m\left(\widehat{CDF}\right)=\alpha=?\)
A) \(130\)B) \(140\)C) \(150\)D) \(160\)E) \(170\)
7.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABC}\right)=x\)
\(m\left(\widehat{BCD}\right)=x-15^\circ\)
\(m\left(\widehat{CDE}\right)=3x\)
\(\Rightarrow x=?\)
A) \(45\)B) \(50\)C) \(55\)D) \(60\)E) \(65\)
8.
\(d_1\parallel d_2\)
\(d_3\parallel d_4\)
\(m\left(\widehat{ABC}\right)=2x\)
\(m\left(\widehat{EDF}\right)=3x\)
\(\Rightarrow m\left(\widehat{GHK}\right)=x=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(60\)