TEST 12
1.
\(\lvert DE\rvert=\lvert BE\rvert=\lvert EC\rvert\)
\(m\left(\widehat{BAC}\right)=35^\circ\)
\(\Rightarrow m\left(\widehat{ABD}\right)=\alpha=?\)
A) \(40\)B) \(45\)C) \(50\)D) \(55\)E) \(60\)
2.
\(\lvert DE\rvert=\lvert AE\rvert=\lvert BD\rvert\)
\(m\left(\widehat{ABE}\right)=m\left(\widehat{EBC}\right)\)
\(m\left(\widehat{BCA}\right)=60^\circ\)
\(\Rightarrow m\left(\widehat{BEC}\right)=\alpha=?\)
A) \(90\)B) \(80\)C) \(70\)D) \(60\)E) \(50\)
3.
\(m\left(\widehat{BDC}\right)=144^\circ\)
\(m\left(\widehat{ABD}\right)=m\left(\widehat{DBC}\right)\)
\(m\left(\widehat{BCD}\right)=m\left(\widehat{DCA}\right)\)
\(\Rightarrow m\left(\widehat{BAD}\right)=\alpha=?\)
A) \(48\)B) \(52\)C) \(54\)D) \(60\)E) \(62\)
4.
\(m\left(\widehat{ACB}\right)=25^\circ\)
\(m\left(\widehat{BAD}\right)=m\left(\widehat{DAE}\right)\)
\(m\left(\widehat{FAC}\right)=m\left(\widehat{CAE}\right)\)
\(\Rightarrow m\left(\widehat{ADC}\right)=\alpha=?\)
A) \(35\)B) \(45\)C) \(50\)D) \(55\)E) \(65\)
5.
\(\lvert AE\rvert=\lvert EB\rvert\)
\([DE]\perp[AB]\)
\(m\left(\widehat{BCA}\right)=60^\circ\)
\(m\left(\widehat{BAD}\right)=m\left(\widehat{DAC}\right)\)
\(\Rightarrow m\left(\widehat{EDA}\right)=\alpha=?\)
A) \(60\)B) \(55\)C) \(50\)D) \(45\)E) \(40\)
6.
\(\text{[BE], [CE], [CD] açıortay}\)
\(m\left(\widehat{BAC}\right)=70^\circ\)
\(\Rightarrow\alpha+\beta=?\)
A) \(180\)B) \(175\)C) \(170\)D) \(165\)E) \(160\)
7.
\(\lvert AB\rvert=\lvert AC\rvert\)
\(\lvert BC\rvert=\lvert CE\rvert\)
\(m\left(\widehat{BAC}\right)=70^\circ\)
\(m\left(\widehat{BFA}\right)=60^\circ\)
\(\Rightarrow m\left(\widehat{BEC}\right)=\alpha=?\)
A) \(5\)B) \(10\)C) \(15\)D) \(20\)E) \(25\)
8.
\(m\left(\widehat{BAD}\right)=60^\circ\)
\(m\left(\widehat{DEC}\right)=100^\circ\)
\(m\left(\widehat{DAC}\right)=m\left(\widehat{EDC}\right)\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(30\)B) \(40\)C) \(50\)D) \(60\)E) \(70\)