TEST 5
1.
\(m\left(\widehat{BAC}\right)=40^\circ\)
\(m\left(\widehat{CFD}\right)=68^\circ\)
\(m\left(\widehat{EDB}\right)=54^\circ\)
\(\Rightarrow m\left(\widehat{ABD}\right)=\alpha=?\)
A) \(18\)B) \(28\)C) \(34\)D) \(38\)E) \(40\)
2.
\([AE]\perp[BC]\)
\(\lvert BE\rvert=\lvert EC\rvert\)
\(m\left(\widehat{BAE}\right)=70^\circ\)
\(\Rightarrow m\left(\widehat{EAC}\right)=\alpha=?\)
A) \(20\)B) \(40\)C) \(50\)D) \(70\)E) \(80\)
3.
\(m\left(\widehat{BAE}\right)=m\left(\widehat{EAC}\right)\)
\([AE]\perp[BC]\)
\(m\left(\widehat{ABC}\right)=50^\circ\)
\(\Rightarrow m\left(\widehat{ACB}\right)=\alpha=?\)
A) \(20\)B) \(40\)C) \(50\)D) \(60\)E) \(70\)
4.
\([CE]\perp[AD]\)
\(m\left(\widehat{BAC}\right)=70^\circ\)
\(\lvert AB\rvert=\lvert CD\rvert\)
\(\lvert AE\rvert=\lvert ED\rvert\)
\(\Rightarrow m\left(\widehat{ABD}\right)=\alpha=?\)
A) \(45\)B) \(55\)C) \(65\)D) \(70\)E) \(80\)
5.
\(\lvert AB\rvert=\lvert CD\rvert\)
\(m\left(\widehat{BAD}\right)=20^\circ\)
\(m\left(\widehat{ACB}\right)=m\left(\widehat{BCD}\right)\)
\([AE]\perp[BC]\)
\(\Rightarrow m\left(\widehat{ADC}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(70\)
6.
\(m\left(\widehat{BAD}\right)=20^\circ\)
\(m\left(\widehat{ABC}\right)=40^\circ\)
\(m\left(\widehat{ACB}\right)=30^\circ\)
\(m\left(\widehat{DAF}\right)=m\left(\widehat{FAE}\right)\)
\([AF]\perp[BC]\)
\(\Rightarrow m\left(\widehat{EAC}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(60\)
7.
\(\lvert AD\rvert=\lvert BD\rvert\)
\(m\left(\widehat{BAD}\right)=30^\circ\)
\(m\left(\widehat{DAC}\right)=50^\circ\)
\(\Rightarrow m\left(\widehat{ACB}\right)=\alpha=?\)
A) \(30\)B) \(50\)C) \(60\)D) \(70\)E) \(80\)
8.
\(m\left(\widehat{ABD}\right)=50^\circ\)
\(m\left(\widehat{DBC}\right)=40^\circ\)
\(\lvert BD\rvert=\lvert DC\rvert\)
\(\Rightarrow m\left(\widehat{BAC}\right)=\alpha=?\)
A) \(40\)B) \(50\)C) \(60\)D) \(80\)E) \(90\)