TEST 13
1.
\(\text{ADE equilateral triangle}\)
\(m\left(\widehat{CAE}\right)=24^\circ\)
\(m\left(\widehat{EDC}\right)=38^\circ\)
\(\Rightarrow m\left(\widehat{BCA}\right)=\alpha=?\)
A) \(40\)B) \(46\)C) \(48\)D) \(50\)E) \(52\)
2.
\([AC]\perp[CD]\)
\(\lvert AB\rvert=\lvert AC\rvert\)
\(m\left(\widehat{EAD}\right)=80^\circ\)
\(m\left(\widehat{ADC}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{DCF}\right)=\alpha=?\)
A) \(20\)B) \(25\)C) \(30\)D) \(35\)E) \(40\)
3.
\(\text{ABC equilateral triangle}\)
\([AD]\perp[DB]\)
\(m\left(\widehat{ABD}\right)=42^\circ\)
\(\Rightarrow m\left(\widehat{DAC}\right)=\alpha=?\)
A) \(12\)B) \(16\)C) \(18\)D) \(20\)E) \(22\)
4.
\(\lvert BD\rvert=\lvert DC\rvert\)
\(m\left(\widehat{ABC}\right)=40^\circ\)
\(m\left(\widehat{ADB}\right)=100^\circ\)
\(\Rightarrow m\left(\widehat{DAC}\right)=\alpha=?\)
A) \(35\)B) \(50\)C) \(55\)D) \(60\)E) \(70\)
5.
\(\lvert AB\rvert=\lvert AC\rvert\)
\(\lvert AD\rvert=\lvert DC\rvert\)
\([AE]\perp[BC]\)
\(m\left(\widehat{AED}\right)=30^\circ\)
\(\Rightarrow m\left(\widehat{BAE}\right)=\alpha=?\)
A) \(25\)B) \(30\)C) \(35\)D) \(40\)E) \(45\)
6.
\(\lvert BA\rvert=\lvert EC\rvert\)
\(\lvert BD\rvert=\lvert DC\rvert\)
\([ED]\perp[BC]\)
\(m\left(\widehat{ACB}\right)=40^\circ\)
\(\Rightarrow m\left(\widehat{ABE}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(60\)
7.
\(\lvert BD\rvert=\lvert DC\rvert\)
\([AD]\perp[BC]\)
\(m\left(\widehat{ACE}\right)=20^\circ\)
\(m\left(\widehat{BAD}\right)=40^\circ\)
\(\Rightarrow m\left(\widehat{ECB}\right)=\alpha=?\)
A) \(10\)B) \(15\)C) \(20\)D) \(25\)E) \(30\)
8.
\([AD]\perp[DC]\)
\(m\left(\widehat{BAD}\right)=15^\circ\)
\(m\left(\widehat{DCB}\right)=40^\circ\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(30\)B) \(35\)C) \(40\)D) \(45\)E) \(60\)