MCQ
$\angle{\text{A}}$ and $\angle{\text{B}}$ are complement of each other. Find angle $A$ and $B$ if, $A = 7x + 6$ and $B = 8x + 9.$
  • $A = 41^\circ , B = 49^\circ $
  • B
    $A = 51^\circ , B = 39^\circ$
  • C
    $A = 61^\circ , B = 29^\circ$
  • D
    $A = 21^\circ , B = 59^\circ$

Answer

Correct option: A.
$A = 41^\circ , B = 49^\circ $
 Since,$\angle{\text{A}}$ and $\angle{\text{B}}$ are complement
$\therefore\angle{\text{A}}+\angle{\text{B}}=90^\circ$
$7x + 6 + 8x + 9 = 90^\circ $
$15x + 15 = 90^\circ $
$15x = 75$
$x = 5$
$A = 7 \times 5 + 6 = 41^\circ $
$B = 8 \times 5 + 9 = 49^\circ $

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