TEST 3
1.
\(m\left(\widehat{BAC}\right)=\alpha\)
\(m\left(\widehat{ABC}\right)=3\alpha\)
\(m\left(\widehat{ACB}\right)=2\alpha-27^\circ\)
\(\Rightarrow\alpha=?\)
A) \(30\)B) \(32{,}5\)C) \(34{,}5\)D) \(36{,}5\)E) \(40\)
2.
\(m\left(\widehat{ABC}\right)=2\alpha+30^\circ\)
\(m\left(\widehat{ACB}\right)=3\alpha-20^\circ\)
\([BA]\perp[AC]\)
\(\Rightarrow\alpha=?\)
A) \(15\)B) \(16\)C) \(20\)D) \(22\)E) \(25\)
3.
\(m\left(\widehat{DAB}\right)=4\alpha\)
\(m\left(\widehat{ABC}\right)=\alpha\)
\(m\left(\widehat{DCB}\right)=2\alpha+25^\circ\)
\(\Rightarrow\alpha=?\)
A) \(5\)B) \(\samefrac{25}3\)C) \(\samefrac{25}2\)D) \(25\)E) \(50\)
4.
\(m\left(\widehat{DAE}\right)=\alpha+5^\circ\)
\(m\left(\widehat{EBK}\right)=3\alpha-20^\circ\)
\(\Rightarrow m\left(\widehat{DCK}\right)=\alpha=?\)
A) \(69\)B) \(72\)C) \(75\)D) \(78\)E) \(81\)
5.
\(m\left(\widehat{ABC}\right)=62^\circ\)
\(m\left(\widehat{BAD}\right)=46^\circ\)
\(m\left(\widehat{DAC}\right)=50^\circ\)
\(\Rightarrow m\left(\widehat{ACB}\right)=\alpha=?\)
A) \(12\)B) \(22\)C) \(28\)D) \(32\)E) \(38\)
6.
\(m\left(\widehat{ADE}\right)=60^\circ\)
\(m\left(\widehat{AED}\right)=70^\circ\)
\(m\left(\widehat{ACB}\right)=55^\circ\)
\(\Rightarrow m\left(\widehat{ABC}\right)=\alpha=?\)
A) \(55\)B) \(60\)C) \(65\)D) \(70\)E) \(75\)
7.
\(m\left(\widehat{EDB}\right)=35^\circ\)
\(m\left(\widehat{DEK}\right)=20^\circ\)
\(m\left(\widehat{CFK}\right)=10^\circ\)
\(m\left(\widehat{FKE}\right)=50^\circ\)
\(\Rightarrow m\left(\widehat{BAC}\right)=\alpha=?\)
A) \(45\)B) \(55\)C) \(65\)D) \(75\)E) \(85\)
8.
\(m\left(\widehat{ABD}\right)=86^\circ\)
\(m\left(\widehat{ACD}\right)=2\alpha-14^\circ\)
\(m\left(\widehat{BDC}\right)=5\alpha\)
\(\Rightarrow m\left(\widehat{BAC}\right)=\alpha=?\)
A) \(26\)B) \(30\)C) \(32\)D) \(36\)E) \(42\)