TEST 16
1.
\(m\left(\widehat{DBC}\right)=20^\circ\)
\([BD]\perp[AC]\)
\(\lvert AB\rvert=\lvert AC\rvert\)
\(\Rightarrow m\left(\widehat{BAC}\right)=\alpha=?\)
A) \(20\)B) \(40\)C) \(50\)D) \(60\)E) \(70\)
2.
\(m\left(\widehat{EDC}\right)=32^\circ\)
\(m\left(\widehat{ACB}\right)=48^\circ\)
\(\lvert AE\rvert=\lvert AD\rvert=\lvert AB\rvert\)
\(\Rightarrow m\left(\widehat{BAD}\right)=\alpha=?\)
A) \(44\)B) \(46\)C) \(54\)D) \(64\)E) \(68\)
3.
\(m\left(\widehat{DAE}\right)=48^\circ\)
\(\lvert AD\rvert=\lvert BD\rvert\)
\(\lvert AE\rvert=\lvert EC\rvert\)
\(\Rightarrow m\left(\widehat{BAC}\right)=?\)
A) \(64\)B) \(66\)C) \(104\)D) \(114\)E) \(124\)
4.
\(m\left(\widehat{BAC}\right)=110^\circ\)
\(\lvert BF\rvert=\lvert FD\rvert\)
\(\lvert DE\rvert=\lvert EC\rvert\)
\(\Rightarrow m\left(\widehat{FDE}\right)=\alpha=?\)
A) \(40\)B) \(70\)C) \(110\)D) \(120\)E) \(130\)
5.
\(m\left(\widehat{EDF}\right)=50^\circ\)
\(\lvert BE\rvert=\lvert ED\rvert\)
\(\lvert DF\rvert=\lvert FC\rvert\)
\(\Rightarrow m\left(\widehat{BAC}\right)=\alpha=?\)
A) \(40\)B) \(50\)C) \(80\)D) \(100\)E) \(130\)
6.
\(\text{ABC equilateral triangle}\)
\(m\left(\widehat{CDE}\right)=50^\circ\)
\(\lvert DC\rvert=\lvert DE\rvert\)
\(\Rightarrow m\left(\widehat{ACD}\right)=\alpha=?\)
A) \(50\)B) \(55\)C) \(60\)D) \(65\)E) \(70\)
7.
\(\lvert AB\rvert=\lvert AD\rvert\)
\(m\left(\widehat{ABC}\right)=40^\circ\)
\(m\left(\widehat{CAD}\right)=30^\circ\)
\(m\left(\widehat{ACD}\right)=75^\circ\)
\(\Rightarrow m\left(\widehat{BAC}\right)=\alpha=?\)
A) \(80\)B) \(95\)C) \(100\)D) \(110\)E) \(120\)
8.
\(m\left(\widehat{ABC}\right)=44^\circ\)
\(\lvert AE\rvert=\lvert ED\rvert\)
\(\lvert AD\rvert=\lvert AC\rvert\)
\([ED]\perp[BC]\)
\(\Rightarrow m\left(\widehat{DAC}\right)=?\)
A) \(23\)B) \(44\)C) \(46\)D) \(48\)E) \(56\)