TEST 20
1.
\([AF]\perp[BC]\)
\(m\left(\widehat{ACE}\right)=20^\circ\)
\(m\left(\widehat{ECB}\right)=60^\circ\)
\(\lvert BF\rvert=\lvert FC\rvert\)
\(\Rightarrow m\left(\widehat{AEC}\right)=x=?\)
A) \(80\)B) \(100\)C) \(120\)D) \(140\)E) \(160\)
2.
\(m\left(\widehat{BAE}\right)=15^\circ\)
\(m\left(\widehat{EAC}\right)=60^\circ\)
\(m\left(\widehat{ABC}\right)=45^\circ\)
\(m\left(\widehat{DCB}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{DEA}\right)=x=?\)
A) \(15\)B) \(20\)C) \(25\)D) \(30\)E) \(35\)
3.
\(\lvert AB\rvert=\lvert AC\rvert\)
\(\lvert BD\rvert=\lvert BC\rvert\)
\(m\left(\widehat{BEC}\right)=27^\circ\)
\(m\left(\widehat{EBC}\right)=m\left(\widehat{ACE}\right)\)
\(\Rightarrow m\left(\widehat{BAC}\right)=x=?\)
A) \(24\)B) \(25\)C) \(27\)D) \(31\)E) \(42\)
4.
\(m\left(\widehat{DCB}\right)=22^\circ\)
\(\lvert AC\rvert=\lvert AF\rvert=\lvert AD\rvert\)
\(\Rightarrow m\left(\widehat{BAF}\right)=\alpha=?\)
A) \(11\)B) \(22\)C) \(33\)D) \(44\)E) \(55\)
5.
\(\lvert AB\rvert=\lvert AD\rvert\)
\(m\left(\widehat{BAC}\right)=80^\circ\)
\(m\left(\widehat{ADB}\right)=30^\circ\)
\(m\left(\widehat{BDC}\right)=40^\circ\)
\(\Rightarrow m\left(\widehat{DBC}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(60\)
6.
\(\lvert BF\rvert=\lvert FC\rvert\)
\([AF]\perp[BC]\)
\(m\left(\widehat{CED}\right)=40^\circ\)
\(m\left(\widehat{ADB}\right)=50^\circ\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(20\)B) \(40\)C) \(50\)D) \(70\)E) \(80\)
7.
\(\text{ABCD square}\)
\(\lvert DF\rvert=\lvert FC\rvert\)
\(\lvert AB\rvert=\lvert DE\rvert\)
\(m\left(\widehat{BAE}\right)=20^\circ\)
\(m\left(\widehat{EDF}\right)=10^\circ\)
\(\Rightarrow m\left(\widehat{ECF}\right)=\alpha=?\)
A) \(10\)B) \(25\)C) \(40\)D) \(50\)E) \(80\)
8.
\(\text{AEB equilateral triangle}\)
\(\text{FGCD square}\)
\(m\left(\widehat{ACF}\right)=\alpha\)
\(\Rightarrow\alpha=?\)
A) \(9\)B) \(10\)C) \(14\)D) \(15\)E) \(16\)