TEST 18
1.
\([AB]\parallel[CD]\)
\(m\left(\widehat{ABD}\right)=123^\circ\)
\(m\left(\widehat{CAD}\right)=75^\circ\)
\(\lvert AD\rvert=\lvert CD\rvert\)
\(\Rightarrow m\left(\widehat{BDA}\right)=\alpha=?\)
A) \(27\)B) \(30\)C) \(33\)D) \(37\)E) \(40\)
2.
\(m\left(\widehat{ABC}\right)=36^\circ\)
\(m\left(\widehat{ADC}\right)=78^\circ\)
\(m\left(\widehat{BAD}\right)=m\left(\widehat{DAC}\right)\)
\(\Rightarrow m\left(\widehat{ACB}\right)=\alpha=?\)
A) \(36\)B) \(40\)C) \(48\)D) \(60\)E) \(68\)
3.
\(m\left(\widehat{DBF}\right)=x+5^\circ\)
\(m\left(\widehat{ADC}\right)=x-20^\circ\)
\(m\left(\widehat{FAD}\right)=m\left(\widehat{DAE}\right)\)
\(m\left(\widehat{BCD}\right)=m\left(\widehat{DCE}\right)\)
\(\Rightarrow m\left(\widehat{CBD}\right)=?\)
A) \(47{,}5\)B) \(50\)C) \(52{,}5\)D) \(55\)E) \(57{,}5\)
4.
\(m\left(\widehat{DAC}\right)=28^\circ\)
\(m\left(\widehat{BED}\right)=62^\circ\)
\(m\left(\widehat{EBC}\right)=K\)
\(m\left(\widehat{ACB}\right)=M\)
\(K-M=16^\circ\)
\(\Rightarrow m\left(\widehat{ADB}\right)=x=?\)
A) \(27\)B) \(37\)C) \(45\)D) \(65\)E) \(68\)
5.
\(m\left(\widehat{BAE}\right)=20^\circ\)
\(m\left(\widehat{ABC}\right)=40^\circ\)
\(m\left(\widehat{ACD}\right)=50^\circ\)
\(m\left(\widehat{DCB}\right)=10^\circ\)
\(\Rightarrow m\left(\widehat{DEB}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(60\)
6.
\(\text{ABC equilateral triangle}\)
\(m\left(\widehat{AFE}\right)=28^\circ\)
\(\lvert BD\rvert=\lvert CF\rvert\)
\(\Rightarrow m\left(\widehat{BAD}\right)=\alpha=?\)
A) \(28\)B) \(32\)C) \(38\)D) \(40\)E) \(48\)
7.
\(m\left(\widehat{BAD}\right)=30^\circ\)
\(m\left(\widehat{DCB}\right)=45^\circ\)
\(\lvert EC\rvert=\lvert DC\rvert\)
\(m\left(\widehat{ABE}\right)=m\left(\widehat{EBC}\right)\)
\(\Rightarrow m\left(\widehat{DAE}\right)=x=?\)
A) \(5\)B) \(10\)C) \(15\)D) \(20\)E) \(25\)
8.
\(m\left(\widehat{BAD}\right)=2\cdot m\left(\widehat{DAC}\right)\)
\(\lvert AB\rvert=\lvert AD\rvert\)
\([DE]\perp[AC]\)
\(m\left(\widehat{ACB}\right)=32^\circ\)
\(\Rightarrow m\left(\widehat{ADE}\right)=x=?\)
A) \(32\)B) \(37\)C) \(61\)D) \(60\)E) \(66\)