TEST 8
1.
\(d_1\parallel d_2\parallel d_3\)
\(m\left(\widehat{DCE}\right)=72^\circ\)
\(m\left(\widehat{EFK}\right)=38^\circ\)
\(\Rightarrow m\left(\widehat{ABE}\right)=\alpha=?\)
A) \(12\)B) \(15\)C) \(17\)D) \(19\)E) \(21\)
2.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABC}\right)=60^\circ\)
\(m\left(\widehat{BCD}\right)=10^\circ\)
\(m\left(\widehat{CDE}\right)=100^\circ\)
\(\Rightarrow m\left(\widehat{DEF}\right)=\alpha=?\)
A) \(40\)B) \(50\)C) \(60\)D) \(70\)E) \(80\)
3.
\(d_1\parallel d_2\parallel d_3\)
\(m\left(\widehat{EDC}\right)=100^\circ\)
\(m\left(\widehat{ABC}\right)=120^\circ\)
\(m\left(\widehat{BCF}\right)=m\left(\widehat{FCD}\right)\)
\(\Rightarrow m\left(\widehat{KFC}\right)=\alpha=?\)
A) \(60\)B) \(80\)C) \(100\)D) \(120\)E) \(140\)
4.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABC}\right)=30^\circ\)
\(m\left(\widehat{BCD}\right)=70^\circ\)
\(m\left(\widehat{CDE}\right)=270^\circ\)
\(\Rightarrow m\left(\widehat{DEF}\right)=\alpha=?\)
A) \(120\)B) \(130\)C) \(145\)D) \(165\)E) \(170\)
5.
\(d_1\parallel d_2\parallel d_3\)
\(m\left(\widehat{BCD}\right)=128^\circ\)
\(m\left(\widehat{DFK}\right)=150^\circ\)
\(m\left(\widehat{CDF}\right)=x\)
\(m\left(\widehat{CDE}\right)=2x\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(28\)B) \(32\)C) \(38\)D) \(40\)E) \(42\)
6.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABC}\right)=30^\circ\)
\(m\left(\widehat{BCD}\right)=120^\circ\)
\(m\left(\widehat{CDE}\right)=20^\circ\)
\(\Rightarrow m\left(\widehat{DEF}\right)=\alpha=?\)
A) \(100\)B) \(110\)C) \(120\)D) \(130\)E) \(140\)
7.
\(d_1\parallel d_2\)
\([EF]\perp[FD]\)
\(m\left(\widehat{ABC}\right)=50^\circ\)
\(m\left(\widehat{FED}\right)=70^\circ\)
\(m\left(\widehat{CDF}\right)=m\left(\widehat{FDK}\right)\)
\(\Rightarrow m\left(\widehat{BCD}\right)=\alpha=?\)
A) \(90\)B) \(80\)C) \(70\)D) \(60\)E) \(50\)
8.
\(d_1\parallel d_2\)
\(m\left(\widehat{BCD}\right)=60^\circ\)
\(m\left(\widehat{CBD}\right)=m\left(\widehat{DBA}\right)\)
\(m\left(\widehat{EDC}\right)=m\left(\widehat{CDB}\right)\)
\(\Rightarrow m\left(\widehat{CBL}\right)=\alpha=?\)
A) \(20\)B) \(40\)C) \(50\)D) \(60\)E) \(80\)