TEST 17
1.
\(m\left(\widehat{ABD}\right)=m\left(\widehat{DBC}\right)\)
\(m\left(\widehat{ACD}\right)=m\left(\widehat{DCB}\right)\)
\(m\left(\widehat{BDC}\right)=110^\circ\)
\(\Rightarrow m\left(\widehat{BAD}\right)=x=?\)
A) \(20\)B) \(\samefrac{55}2\)C) \(40\)D) \(55\)E) \(70\)
2.
\(m\left(\widehat{ABC}\right)=44^\circ\)
\(m\left(\widehat{ACD}\right)=66^\circ\)
\(\lvert AF\rvert=\lvert FE\rvert\)
\(\Rightarrow m\left(\widehat{EDC}\right)=\alpha=?\)
A) \(4\)B) \(8\)C) \(12\)D) \(16\)E) \(20\)
3.
\([AB]\perp[AC]\)
\(m\left(\widehat{ABC}\right)=38^\circ\)
\(\lvert AD\rvert=\lvert BE\rvert=\lvert EC\rvert\)
\(\Rightarrow m\left(\widehat{DEB}\right)=\alpha=?\)
A) \(23\)B) \(28\)C) \(33\)D) \(38\)E) \(43\)
4.
\(m\left(\widehat{BAC}\right)=86^\circ\)
\([DE]\perp[BC]\)
\(\lvert BE\rvert=\lvert EC\rvert\)
\(\lvert AB\rvert=\lvert DC\rvert\)
\(\Rightarrow m\left(\widehat{DCE}\right)=x=?\)
A) \(43\)B) \(46\)C) \(56\)D) \(66\)E) \(68\)
5.
\(m\left(\widehat{ACF}\right)=75^\circ\)
\(\lvert AD\rvert=\lvert DE\rvert\)
\(\lvert EB\rvert=\lvert BF\rvert\)
\(\Rightarrow m\left(\widehat{FDC}\right)=\alpha=?\)
A) \(65\)B) \(70\)C) \(75\)D) \(80\)E) \(85\)
6.
\(m\left(\widehat{ABC}\right)=80^\circ\)
\(m\left(\widehat{ACE}\right)=20^\circ\)
\(m\left(\widehat{BAD}\right)=m\left(\widehat{DAC}\right)\)
\(\lvert BD\rvert=\lvert DC\rvert\)
\(\Rightarrow m\left(\widehat{AEC}\right)=x=?\)
A) \(90\)B) \(100\)C) \(110\)D) \(120\)E) \(140\)
7.
\(m\left(\widehat{BAD}\right)=60^\circ\)
\(m\left(\widehat{ADC}\right)=80^\circ\)
\(\lvert AB\rvert=\lvert AD\rvert=\lvert DC\rvert\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(60\)B) \(80\)C) \(100\)D) \(130\)E) \(140\)
8.
\(\lvert DE\rvert=\lvert EC\rvert\)
\(\lvert DB\rvert=\lvert BE\rvert\)
\(m\left(\widehat{AEC}\right)=78^\circ\)
\(\Rightarrow m\left(\widehat{ECD}\right)=\alpha=?\)
A) \(22\)B) \(24\)C) \(26\)D) \(28\)E) \(30\)