TEST 19
1.
\(m\left(\widehat{DAC}\right)=30^\circ\)
\(m\left(\widehat{ACB}\right)=x-10^\circ\)
\(m\left(\widehat{BCD}\right)=25^\circ\)
\([AB]\perp[BC]\)
\([AD]\perp[DC]\)
\(\Rightarrow x=?\)
A) \(25\)B) \(35\)C) \(45\)D) \(50\)E) \(65\)
2.
\(m\left(\widehat{ACB}\right)=m\left(\widehat{ABE}\right)\)
\(m\left(\widehat{AEB}\right)=72^\circ\)
\(\Rightarrow m\left(\widehat{ABC}\right)=?\)
A) \(18\)B) \(36\)C) \(72\)D) \(108\)E) \(144\)
3.
\(3m\left(\widehat{DAB}\right)=m\left(\widehat{DAE}\right)=6\beta\)
\(m\left(\widehat{ECD}\right)=3m\left(\widehat{DCB}\right)=3\alpha\)
\(m\left(\widehat{ADC}\right)=60^\circ\)
\(\Rightarrow m\left(\widehat{ABC}\right)=x=?\)
A) \(70\)B) \(80\)C) \(90\)D) \(100\)E) \(110\)
4.
\(\lvert AB\rvert=\lvert AC\rvert=\lvert AD\rvert\)
\(m\left(\widehat{BCF}\right)=40^\circ\)
\(\Rightarrow m\left(\widehat{EAD}\right)=x=?\)
A) \(40\)B) \(60\)C) \(80\)D) \(100\)E) \(120\)
5.
\(\lvert AB\rvert=\lvert AC\rvert\)
\(\lvert BD\rvert=\lvert DC\rvert\)
\(m\left(\widehat{AFC}\right)=25^\circ\)
\(m\left(\widehat{EBC}\right)=15^\circ\)
\(\Rightarrow m\left(\widehat{FAE}\right)=x=?\)
A) \(15\)B) \(25\)C) \(40\)D) \(50\)E) \(60\)
6.
\(\text{ABC equilateral triangle}\)
\(\lvert AD\rvert=\lvert AE\rvert\)
\(m\left(\widehat{EDC}\right)=10^\circ\)
\(\Rightarrow m\left(\widehat{BAD}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(60\)
7.
\(\lvert AD\rvert=\lvert EC\rvert=\lvert AE\rvert\)
\(\lvert DC\rvert=\lvert BE\rvert\)
\(m\left(\widehat{EAC}\right)=44^\circ\)
\(\Rightarrow m\left(\widehat{BAE}\right)=\alpha=?\)
A) \(12\)B) \(22\)C) \(24\)D) \(28\)E) \(32\)
8.
\(\lvert BD\rvert=\lvert AD\rvert=\lvert AC\rvert\)
\(m\left(\widehat{CAB}\right)=20^\circ\)
\(m\left(\widehat{CAD}\right)=35^\circ\)
\(\Rightarrow m\left(\widehat{BDC}\right)=\alpha=?\)
A) \(2{,}5\)B) \(3\)C) \(4\)D) \(5\)E) \(7{,}5\)