TEST 16
1.
\(d_1\parallel d_2\)
\(m\left(\widehat{CDK}\right)=m\left(\widehat{KDE}\right)\)
\([DF]\perp[CE]\)
\(m\left(\widehat{ABC}\right)=72^\circ\)
\(m\left(\widehat{BCD}\right)=2m\left(\widehat{DCE}\right)\)
\(\Rightarrow m\left(\widehat{DKC}\right)=\alpha=?\)
A) \(68\)B) \(70\)C) \(72\)D) \(74\)E) \(76\)
2.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABC}\right)=m\left(\widehat{CBD}\right)\)
\(m\left(\widehat{BDE}\right)=m\left(\widehat{EDF}\right)\)
\(m\left(\widehat{CED}\right)=50^\circ\)
\(\Rightarrow m\left(\widehat{DFG}\right)=\alpha=?\)
A) \(70\)B) \(80\)C) \(90\)D) \(100\)E) \(110\)
3.
\(d_1\parallel d_2\)
\(d_3\parallel d_4\)
\(m\left(\widehat{ABF}\right)=100^\circ\)
\(m\left(\widehat{ECB}\right)=m\left(\widehat{BCD}\right)\)
\(\Rightarrow m\left(\widehat{FBC}\right)=\alpha=?\)
A) \(40\)B) \(45\)C) \(50\)D) \(55\)E) \(60\)
4.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABF}\right)=m\left(\widehat{CBF}\right)\)
\(m\left(\widehat{BCD}\right)=m\left(\widehat{CDE}\right)\)
\(m\left(\widehat{BFE}\right)=70^\circ\)
\(\Rightarrow m\left(\widehat{DEG}\right)=\alpha=?\)
A) \(15\)B) \(25\)C) \(30\)D) \(35\)E) \(40\)
5.
\(d_1\parallel d_2\)
\([BC]\parallel[DE]\)
\(m\left(\widehat{ABC}\right)=3\alpha\)
\(m\left(\widehat{DEF}\right)=130^\circ\)
\(m\left(\widehat{EFK}\right)=130^\circ\)
\(\Rightarrow m\left(\widehat{FKM}\right)=\alpha=?\)
A) \(10\)B) \(20\)C) \(30\)D) \(40\)E) \(50\)
6.
\(d_1\parallel d_2\)
\(m\left(\widehat{BCF}\right)=80^\circ\)
\(m\left(\widehat{DEF}\right)=110^\circ\)
\(m\left(\widehat{ABC}\right)=m\left(\widehat{CBD}\right)\)
\(m\left(\widehat{EFC}\right)=m\left(\widehat{CFG}\right)\)
\(\Rightarrow m\left(\widehat{BDE}\right)=\alpha=?\)
A) \(60\)B) \(70\)C) \(80\)D) \(90\)E) \(100\)
7.
\(d_1\parallel d_2\)
\(m\left(\widehat{DEG}\right)=110^\circ\)
\(m\left(\widehat{EGD}\right)=50^\circ\)
\(m\left(\widehat{DBG}\right)=m\left(\widehat{BDK}\right)\)
\(\begin{aligned}m\left(\widehat{ABC}\right)&=m\left(\widehat{CBD}\right)\\&=m\left(\widehat{KDF}\right)\end{aligned}\)
\(\Rightarrow m\left(\widehat{CBG}\right)=?\)
A) \(90\)B) \(80\)C) \(70\)D) \(60\)E) \(50\)
8.
\(d_1\parallel d_2\)
\(a+b+c+d=460\)
\(\Rightarrow e=?\)
A) \(100\)B) \(90\)C) \(80\)D) \(70\)E) \(60\)