TEST 8
1.
\([AB]\perp[EC]\)
\(\lvert AD\rvert=\lvert DC\rvert=\lvert EB\rvert\)
\(m\left(\widehat{DEC}\right)=20^\circ\)
\(\Rightarrow m\left(\widehat{ECA}\right)=\alpha=?\)
A) \(10\)B) \(20\)C) \(40\)D) \(50\)E) \(70\)
2.
\([AB]\perp[EC]\)
\(\lvert AD\rvert=\lvert DC\rvert=\lvert BE\rvert\)
\(m\left(\widehat{DEC}\right)=10^\circ\)
\(\Rightarrow m\left(\widehat{BAC}\right)=\alpha=?\)
A) \(5\)B) \(10\)C) \(20\)D) \(70\)E) \(80\)
3.
\([AB]\perp[AC]\)
\(2\lvert AD\rvert=\lvert BC\rvert=18\ \text{br}\)
\(m\left(\widehat{ACD}\right)=32^\circ\)
\(\Rightarrow m\left(\widehat{ADC}\right)=\alpha=?\)
A) \(16\)B) \(32\)C) \(58\)D) \(64\)E) \(74\)
4.
\([AB]\perp[AC]\)
\(2\lvert AD\rvert=\lvert BC\rvert\)
\(m\left(\widehat{ACB}\right)=25^\circ\)
\(\Rightarrow m\left(\widehat{DAB}\right)=\alpha=?\)
A) \(15\)B) \(20\)C) \(25\)D) \(40\)E) \(50\)
5.
\(\text{B, D, A linear}\)
\([BC]\perp[DC]\)
\(2\lvert AC\rvert=\lvert BD\rvert\)
\(m\left(\widehat{BDC}\right)=80^\circ\)
\(\Rightarrow m\left(\widehat{ACD}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(60\)
6.
\([AB]\perp[BC]\)
\(\lvert AE\rvert=\lvert EC\rvert=\lvert BD\rvert\)
\(m\left(\widehat{BAC}\right)=50^\circ\)
\(m\left(\widehat{BDE}\right)=80^\circ\)
\(\Rightarrow m\left(\widehat{DEC}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(35\)D) \(40\)E) \(50\)
7.
\(m\left(\widehat{EBC}\right)=72^\circ\)
\(m\left(\widehat{ACB}\right)=18^\circ\)
\(\lvert BD\rvert=\lvert DC\rvert=\lvert AE\rvert\)
\(\Rightarrow m\left(\widehat{BED}\right)=\alpha=?\)
A) \(18\)B) \(32\)C) \(36\)D) \(44\)E) \(72\)
8.
\([BA]\perp[EC]\)
\([BF]\perp[AC]\)
\(\lvert BD\rvert=\lvert DC\rvert\)
\(m\left(\widehat{BAC}\right)=70^\circ\)
\(\Rightarrow m\left(\widehat{EDF}\right)=\alpha=?\)
A) \(20\)B) \(40\)C) \(50\)D) \(70\)E) \(100\)