The supplementary angle to 110° is
A) 35°
B) 80°
C) 20°
D) 70°
C) A + d = i1 + i2
2 Answers 1 viewsCorrect option is (B) 91° Supplementary angle to \(89^\circ\) \(=180^\circ-89^\circ=91^\circ.\) \((\because\) Sum of supplementary angles is \(180^\circ)\)
2 Answers 1 viewsCorrect option is (B) 30° Let the angle be x. Then its complementary angle is 2x. \(\therefore\) x+2x = \(90^\circ\) \(\Rightarrow\) 3x = \(90^\circ\) \(\Rightarrow\) x = \(\frac{90^\circ}3=30^\circ\) Hence, the required angle is \(30^\circ.\)
2 Answers 1 viewsCorrect option is (D) 70° \(\because\) Sum of supplementary angles is \(180^\circ.\) \(\therefore\) Supplementary angle to \(110^\circ\) \(=180^\circ-110^\circ=70^\circ\)
2 Answers 1 viewsCorrect option is (B) 180° Conjugate angle of \(25^\circ=360^\circ-25^\circ=335^\circ\) \((\because\) Sum of two conjugate angles is \(360^\circ)\) And supplementary angle of \(25^\circ=180^\circ-25^\circ=155^\circ\) \(\therefore\) Difference between them \(=335^\circ-155^\circ=180^\circ\)
2 Answers 1 viewsCorrect option is (A) 135° Let the required angle be x. \(\therefore\) Its supplementary angle is \(180^\circ-x.\) Now, complementary angle of \(180^\circ-x\) is \(90^\circ-(180^\circ-x)\) \(=x-90^\circ\) According to given condition, \(180^\circ-x=x-90^\circ\) \(\Rightarrow\) 2x = \(180^\circ+90^\circ=270^\circ\) \(\Rightarrow\) x = \(\frac{270^\circ}2=135^\circ\)
2 Answers 1 views