TEST 7
1.
\(\lvert AD\rvert=\lvert BD\rvert=\lvert DC\rvert\)
\(\Rightarrow m\left(\widehat{BAC}\right)=?\)
A) \(30\)B) \(45\)C) \(60\)D) \(90\)E) \(120\)
2.
\([AB]\perp[AC]\)
\(\lvert BD\rvert=\lvert DC\rvert\)
\(m\left(\widehat{ACB}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{DAC}\right)=\alpha=?\)
A) \(15\)B) \(30\)C) \(45\)D) \(60\)E) \(75\)
3.
\([AB]\perp[AC]\)
\(\lvert AD\rvert=\lvert BD\rvert\)
\(m\left(\widehat{ACB}\right)=15^\circ\)
\(\Rightarrow m\left(\widehat{BAD}\right)=\alpha=?\)
A) \(15\)B) \(30\)C) \(45\)D) \(65\)E) \(75\)
4.
\([AB]\perp[AC]\)
\(\lvert AD\rvert=\lvert BD\rvert=\lvert EC\rvert\)
\(m\left(\widehat{BCE}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{DEC}\right)=\alpha=?\)
A) \(15\)B) \(30\)C) \(60\)D) \(75\)E) \(90\)
5.
\([AB]\perp[AC]\)
\([AD]\perp[BE]\)
\(\lvert BD\rvert=\lvert DC\rvert\)
\(m\left(\widehat{ACB}\right)=25^\circ\)
\(\Rightarrow m\left(\widehat{ABE}\right)=\alpha=?\)
A) \(25\)B) \(35\)C) \(45\)D) \(65\)E) \(75\)
6.
\([AD]\perp[AC]\)
\(\lvert DE\rvert=\lvert EC\rvert\)
\(m\left(\widehat{ABC}\right)=30^\circ\)
\(m\left(\widehat{EAC}\right)=20^\circ\)
\(\Rightarrow m\left(\widehat{BAD}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(60\)
7.
\([AB]\perp[BC]\)
\(\lvert AD\rvert=\lvert DC\rvert=\lvert BE\rvert\)
\(m\left(\widehat{BAC}\right)=25^\circ\)
\(m\left(\widehat{BED}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{DFC}\right)=\alpha=?\)
A) \(45\)B) \(55\)C) \(90\)D) \(95\)E) \(120\)
8.
\([AB]\perp[AC]\)
\(\lvert AE\rvert=\lvert BD\rvert=\lvert DC\rvert\)
\(m\left(\widehat{EAC}\right)=35^\circ\)
\(m\left(\widehat{ACB}\right)=25^\circ\)
\(\Rightarrow m\left(\widehat{AED}\right)=\alpha=?\)
A) \(25\)B) \(35\)C) \(50\)D) \(60\)E) \(70\)