TEST 14
1.
\(\lvert BA\rvert=\lvert AD\rvert=\lvert DC\rvert\)
\(m\left(\widehat{ADC}\right)=60^\circ\)
\(m\left(\widehat{BAD}\right)=110^\circ\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(45\)B) \(50\)C) \(55\)D) \(60\)E) \(65\)
2.
\(\begin{aligned}m\left(\widehat{BAD}\right)&=m\left(\widehat{DAF}\right)\\&=m\left(\widehat{FAC}\right)\end{aligned}\)
\(m\left(\widehat{ABE}\right)=40^\circ\)
\(m\left(\widehat{ACE}\right)=100^\circ\)
\(\Rightarrow m\left(\widehat{AFB}\right)=\alpha=?\)
A) \(40\)B) \(50\)C) \(60\)D) \(80\)E) \(100\)
3.
\([AD]\perp[BC]\)
\(m\left(\widehat{ACB}\right)=20^\circ\)
\(m\left(\widehat{ABC}\right)=80^\circ\)
\(m\left(\widehat{BAE}\right)=m\left(\widehat{EAC}\right)\)
\(\Rightarrow m\left(\widehat{DAE}\right)=\alpha=?\)
A) \(20\)B) \(25\)C) \(30\)D) \(40\)E) \(50\)
4.
\([AD]\perp[BC]\)
\(m\left(\widehat{ABC}\right)=15^\circ\)
\(m\left(\widehat{ACB}\right)=75^\circ\)
\(m\left(\widehat{BAE}\right)=m\left(\widehat{EAC}\right)\)
\(\Rightarrow m\left(\widehat{EAD}\right)=\alpha=?\)
A) \(30\)B) \(35\)C) \(40\)D) \(45\)E) \(50\)
5.
\(\lvert KE\rvert=\lvert KC\rvert\)
\(\lvert BK\rvert=\lvert BF\rvert\)
\(m\left(\widehat{AFE}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{FAC}\right)=\alpha=?\)
A) \(45\)B) \(50\)C) \(55\)D) \(60\)E) \(65\)
6.
\(\lvert AD\rvert=\lvert BD\rvert=\lvert CD\rvert\)
\(m\left(\widehat{BDC}\right)=120^\circ\)
\(\Rightarrow m\left(\widehat{BAC}\right)=?\)
A) \(40\)B) \(60\)C) \(80\)D) \(90\)E) \(100\)
7.
\(\text{[AD] and [DE] açıortay}\)
\(m\left(\widehat{ABC}\right)=80^\circ\)
\(m\left(\widehat{AED}\right)=110^\circ\)
\(\Rightarrow m\left(\widehat{ACB}\right)=?\)
A) \(60\)B) \(55\)C) \(50\)D) \(45\)E) \(40\)
8.
\(\lvert BE\rvert=\lvert ED\rvert\)
\(\lvert DF\rvert=\lvert FC\rvert\)
\(m\left(\widehat{BAC}\right)=80^\circ\)
\(m\left(\widehat{FED}\right)=40^\circ\)
\(\Rightarrow m\left(\widehat{EFD}\right)=\alpha=?\)
A) \(40\)B) \(50\)C) \(60\)D) \(70\)E) \(80\)