TEST 4
1.
\(m\left(\widehat{BAC}\right)=60^\circ\)
\(m\left(\widehat{ABD}\right)=m\left(\widehat{DBC}\right)\)
\(m\left(\widehat{ACD}\right)=m\left(\widehat{DCB}\right)\)
\(\Rightarrow m\left(\widehat{BDC}\right)=\alpha=?\)
A) \(90\)B) \(100\)C) \(120\)D) \(130\)E) \(150\)
2.
\(m\left(\widehat{BDC}\right)=150^\circ\)
\(m\left(\widehat{ABD}\right)=m\left(\widehat{DBC}\right)\)
\(m\left(\widehat{ACD}\right)=m\left(\widehat{DCB}\right)\)
\(\Rightarrow m\left(\widehat{BAC}\right)=\alpha=?\)
A) \(60\)B) \(90\)C) \(100\)D) \(120\)E) \(150\)
3.
\(m\left(\widehat{ADB}\right)=108^\circ\)
\(m\left(\widehat{CAD}\right)=m\left(\widehat{ABD}\right)\)
\(m\left(\widehat{DAB}\right)=m\left(\widehat{DBC}\right)\)
\(\Rightarrow m\left(\widehat{ACB}\right)=\alpha=?\)
A) \(18\)B) \(36\)C) \(72\)D) \(100\)E) \(108\)
4.
\(m\left(\widehat{EAF}\right)=80^\circ\)
\(m\left(\widehat{EBD}\right)=m\left(\widehat{DBC}\right)\)
\(m\left(\widehat{BCD}\right)=m\left(\widehat{DCF}\right)\)
\(\Rightarrow m\left(\widehat{BDC}\right)=\alpha=?\)
A) \(130\)B) \(80\)C) \(70\)D) \(50\)E) \(40\)
5.
\(m\left(\widehat{BDC}\right)=70^\circ\)
\(m\left(\widehat{EBD}\right)=m\left(\widehat{DBC}\right)\)
\(m\left(\widehat{BCD}\right)=m\left(\widehat{DCF}\right)\)
\(\Rightarrow m\left(\widehat{EAF}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(70\)
6.
\(3m\left(\widehat{EAF}\right)=2m\left(\widehat{BDC}\right)\)
\(m\left(\widehat{CBD}\right)=m\left(\widehat{DBE}\right)\)
\(m\left(\widehat{BCD}\right)=m\left(\widehat{DCF}\right)\)
\(\Rightarrow\alpha=?\)
A) \(\samefrac{45}4\)B) \(\samefrac{45}2\)C) \(45\)D) \(55\)E) \(60\)
7.
\(\lvert AC\rvert=\lvert DC\rvert\)
\(m\left(\widehat{ABC}\right)=70^\circ\)
\(m\left(\widehat{ACB}\right)=40^\circ\)
\(m\left(\widehat{BDC}\right)=75^\circ\)
\(\Rightarrow m\left(\widehat{BCD}\right)=\alpha=?\)
A) \(20\)B) \(30\)C) \(40\)D) \(50\)E) \(75\)
8.
\(m\left(\widehat{BAD}\right)=m\left(\widehat{EAC}\right)=70^\circ\)
\(\lvert AD\rvert=\lvert DC\rvert\)
\(\Rightarrow m\left(\widehat{ADB}\right)=\alpha=?\)
A) \(40\)B) \(70\)C) \(80\)D) \(90\)E) \(100\)