TEST 15
1.
\(m\left(\widehat{EAC}\right)=25^\circ\)
\(m\left(\widehat{ABC}\right)=50^\circ\)
\([BA]\perp[DC]\)
\([AE]\perp[BC]\)
\(\Rightarrow m\left(\widehat{ACD}\right)=\alpha=?\)
A) \(25\)B) \(30\)C) \(35\)D) \(40\)E) \(45\)
2.
\(m\left(\widehat{ACB}\right)=48^\circ\)
\([DE]\perp[AB]\)
\(m\left(\widehat{ABD}\right)=m\left(\widehat{DBC}\right)\)
\(\lvert AE\rvert=\lvert EB\rvert\)
\(\Rightarrow m\left(\widehat{EDB}\right)=\alpha=?\)
A) \(44\)B) \(46\)C) \(48\)D) \(52\)E) \(56\)
3.
\(m\left(\widehat{BAD}\right)=m\left(\widehat{DAC}\right)\)
\(m\left(\widehat{ABE}\right)=m\left(\widehat{EBC}\right)\)
\(m\left(\widehat{BFD}\right)=72^\circ\)
\(\Rightarrow m\left(\widehat{ACB}\right)=\alpha=?\)
A) \(32\)B) \(36\)C) \(46\)D) \(72\)E) \(78\)
4.
\(m\left(\widehat{ABC}\right)=68^\circ\)
\([DE]\perp[AC]\)
\(\lvert AE\rvert=\lvert EC\rvert\)
\(\lvert AD\rvert=\lvert BC\rvert\)
\(\Rightarrow m\left(\widehat{ADE}\right)=x=?\)
A) \(44\)B) \(46\)C) \(56\)D) \(66\)E) \(68\)
5.
\(m\left(\widehat{BAD}\right)=30^\circ\)
\(\lvert AC\rvert=\lvert DC\rvert=\lvert AB\rvert\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(30\)B) \(40\)C) \(60\)D) \(70\)E) \(80\)
6.
\(m\left(\widehat{ABD}\right)=25^\circ\)
\(\lvert DC\rvert=\lvert BC\rvert\)
\([AB]\perp[BC]\)
\(\Rightarrow m\left(\widehat{BAC}\right)=x=?\)
A) \(25\)B) \(30\)C) \(35\)D) \(40\)E) \(45\)
7.
\(m\left(\widehat{DBC}\right)=30^\circ\)
\(\lvert AB\rvert=\lvert AC\rvert\)
\(\lvert AD\rvert=\lvert BD\rvert\)
\(\Rightarrow m\left(\widehat{ADB}\right)=\alpha=?\)
A) \(40\)B) \(70\)C) \(90\)D) \(100\)E) \(110\)
8.
\(m\left(\widehat{BAC}\right)=35^\circ\)
\(\lvert AD\rvert=\lvert DC\rvert\)
\(\lvert BD\rvert=\lvert BC\rvert\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(20\)B) \(40\)C) \(60\)D) \(80\)E) \(100\)