TEST 6
1.
\(m\left(\widehat{ABC}\right)=30^\circ\)
\(\lvert BD\rvert=\lvert AD\rvert=\lvert AC\rvert\)
\(\Rightarrow m\left(\widehat{DAC}\right)=\alpha=?\)
A) \(30\)B) \(45\)C) \(60\)D) \(75\)E) \(90\)
2.
\(\lvert AD\rvert=\lvert BD\rvert=\lvert BC\rvert\)
\(m\left(\widehat{BAC}\right)=25^\circ\)
\(\Rightarrow m\left(\widehat{DBC}\right)=\alpha=?\)
A) \(25\)B) \(50\)C) \(60\)D) \(70\)E) \(80\)
3.
\(m\left(\widehat{BAD}\right)=15^\circ\)
\(\lvert AB\rvert=\lvert AC\rvert\)
\(\lvert AD\rvert=\lvert DC\rvert\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(45\)B) \(55\)C) \(60\)D) \(65\)E) \(75\)
4.
\(\text{ABC equilateral triangle}\)
\(\Rightarrow m\left(\widehat{ACB}\right)=\alpha=?\)
A) \(30\)B) \(45\)C) \(60\)D) \(90\)E) \(120\)
5.
\(\text{ABC equilateral triangle}\)
\(m\left(\widehat{BED}\right)=38^\circ\)
\(\Rightarrow m\left(\widehat{CDE}\right)=x=?\)
A) \(58\)B) \(52\)C) \(28\)D) \(22\)E) \(18\)
6.
\(\text{ABC equilateral triangle}\)
\(\lvert AC\rvert=\lvert CD\rvert\)
\([AC]\perp[DC]\)
\(\Rightarrow m\left(\widehat{BDC}\right)=\alpha=?\)
A) \(30\)B) \(45\)C) \(60\)D) \(70\)E) \(75\)
7.
\(\text{ABC equilateral triangle}\)
\(\text{BCDE square}\)
\(\Rightarrow m\left(\widehat{EAB}\right)=\alpha=?\)
A) \(30\)B) \(45\)C) \(60\)D) \(70\)E) \(75\)
8.
\(m\left(\widehat{BAC}\right)=65^\circ\)
\(m\left(\widehat{ACD}\right)=m\left(\widehat{BDE}\right)\)
\(\lvert DC\rvert=\lvert EC\rvert\)
\(\Rightarrow m\left(\widehat{DCB}\right)=\alpha=?\)
A) \(40\)B) \(50\)C) \(60\)D) \(65\)E) \(75\)