TEST 14
1.
\(d_1\parallel d_2\parallel d_3\)
\(m\left(\widehat{ABC}\right)=80^\circ\)
\(m\left(\widehat{CEF}\right)=130^\circ\)
\(m\left(\widehat{BCD}\right)=m\left(\widehat{DCE}\right)\)
\(\Rightarrow m\left(\widehat{CDK}\right)=\alpha=?\)
A) \(105\)B) \(110\)C) \(115\)D) \(120\)E) \(125\)
2.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABC}\right)=m\left(\widehat{CBE}\right)\)
\(m\left(\widehat{CFE}\right)=m\left(\widehat{EFG}\right)\)
\(m\left(\widehat{BCF}\right)=27^\circ\)
\(m\left(\widehat{BEF}\right)=36^\circ\)
\(\Rightarrow m\left(\widehat{BDF}\right)=\alpha=?\)
A) \(38\)B) \(42\)C) \(63\)D) \(72\)E) \(81\)
3.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABC}\right)=m\left(\widehat{CBD}\right)\)
\(m\left(\widehat{DFC}\right)=m\left(\widehat{CFG}\right)\)
\(m\left(\widehat{BEF}\right)=100^\circ\)
\(m\left(\widehat{BCF}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{DFE}\right)=\alpha=?\)
A) \(30\)B) \(35\)C) \(40\)D) \(45\)E) \(50\)
4.
\(d_1\parallel d_2\)
\([CD\parallel[EF\)
\(m\left(\widehat{BCD}\right)=150^\circ\)
\(m\left(\widehat{EFG}\right)=50^\circ\)
\(m\left(\widehat{CBE}\right)=m\left(\widehat{EBK}\right)\)
\(\Rightarrow m\left(\widehat{BEF}\right)=\alpha=?\)
A) \(120\)B) \(110\)C) \(100\)D) \(90\)E) \(80\)
5.
\(d_1\parallel d_2\)
\(m\left(\widehat{BCD}\right)=100^\circ\)
\(m\left(\widehat{CDE}\right)=80^\circ\)
\(m\left(\widehat{ABC}\right)=m\left(\widehat{EKF}\right)=\alpha\)
\(\Rightarrow m\left(\widehat{DEK}\right)=\beta=?\)
A) \(20\)B) \(25\)C) \(30\)D) \(35\)E) \(40\)
6.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABE}\right)=m\left(\widehat{EBC}\right)\)
\(m\left(\widehat{BCD}\right)=m\left(\widehat{DCF}\right)\)
\(m\left(\widehat{EDC}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{BED}\right)=\alpha=?\)
A) \(90\)B) \(100\)C) \(110\)D) \(120\)E) \(130\)
7.
\(\begin{aligned}m\left(\widehat{CDF}\right)&=m\left(\widehat{FDM}\right)\\&=m\left(\widehat{MDT}\right)\end{aligned}\)
\(m\left(\widehat{ABC}\right)=28^\circ\)
\(m\left(\widehat{AEF}\right)=4x\)
\(m\left(\widehat{AKM}\right)=4y\)
\(m\left(\widehat{ANT}\right)=6x+4^\circ\)
\(\Rightarrow y=?\)
A) \(10\)B) \(11\)C) \(12\)D) \(13\)E) \(14\)
8.
\(d_1\parallel d_2\)
\(m\left(\widehat{BDE}\right)=94^\circ\)
\(m\left(\widehat{DEF}\right)=82^\circ\)
\(m\left(\widehat{ABC}\right)=m\left(\widehat{CBD}\right)\)
\(m\left(\widehat{KFC}\right)=m\left(\widehat{CFE}\right)\)
\(\Rightarrow m\left(\widehat{BCF}\right)=?\)
A) \(80\)B) \(82\)C) \(84\)D) \(86\)E) \(90\)