TEST 1
1.
\(AE\perp[BC\)
\(m\left(\widehat{EBD}\right)=44^\circ\)
\(m\left(\widehat{CBD}\right)=\alpha\)
\(\Rightarrow\alpha=?\)
A) \(20\)B) \(22\)C) \(24\)D) \(36\)E) \(46\)
2.
\(AC\perp[BH\)
\(m\left(\widehat{CBD}\right)=m\left(\widehat{HBG}\right)\)
\(m\left(\widehat{GBF}\right)=m\left(\widehat{FBE}\right)\)
\(m\left(\widehat{EBD}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{CBF}\right)=?\)
A) \(15\)B) \(30\)C) \(45\)D) \(60\)E) \(75\)
3.
\(m\left(\widehat{AOB}\right)=270-2x\)
\(m\left(\widehat{BOC}\right)=2x-10\)
\(\Rightarrow m\left(\widehat{AOC}\right)=?\)
A) \(90\)B) \(100\)C) \(110\)D) \(120\)E) \(130\)
4.
\(d_1\parallel d_2\)
\(d_3\parallel d_4\)
\(m\left(\widehat{DBC}\right)=20^\circ\)
\(m\left(\widehat{ECF}\right)=40^\circ\)
\(\Rightarrow m\left(\widehat{ABC}\right)=?\)
A) \(30\)B) \(40\)C) \(60\)D) \(70\)E) \(80\)
5.
\(d_1\parallel d_4\)
\(d_2\parallel d_3\)
\(m\left(\widehat{GEF}\right)=x-55^\circ\)
\(m\left(\widehat{ABC}\right)=2x+10^\circ\)
\(\Rightarrow x=?\)
A) \(15\)B) \(45\)C) \(60\)D) \(75\)E) \(85\)
6.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABC}\right)=110^\circ\)
\(m\left(\widehat{BCD}\right)=20^\circ\)
\(m\left(\widehat{EDC}\right)=\alpha\)
\(\Rightarrow\alpha=?\)
A) \(50\)B) \(70\)C) \(80\)D) \(110\)E) \(130\)
7.
\(d_1\parallel d_2\)
\(m\left(\widehat{ABC}\right)=70^\circ\)
\(m\left(\widehat{EDC}\right)=80^\circ\)
\(m\left(\widehat{BCD}\right)=\alpha\)
\(\Rightarrow\alpha=?\)
A) \(30\)B) \(40\)C) \(45\)D) \(50\)E) \(55\)
8.
\(d_1\parallel d_2\)
\(m\left(\widehat{BCD}\right)=15^\circ\)
\(m\left(\widehat{EDC}\right)=65^\circ\)
\(m\left(\widehat{ABC}\right)=\alpha\)
\(\Rightarrow\alpha=?\)
A) \(70\)B) \(80\)C) \(100\)D) \(110\)E) \(120\)