Question

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Answer 1

1. Complementary angles are any 2 angles whose sum is 90°

    Complementary angles are any 2 angles whose sum is 180°

a) BXC and CXD add up to 90°, so they are 2 complementary angles

b) AXC and CXD add up to 180°, so they are 2 supplementary angles

c) 2x+40°=90° (as BXC and CXD are complementary)

     2x=90°- 40°
      2x=50°
        x=50°/2=25°
     
      5y=90°
        $\frac{5y}{5}= \frac{90}{5}$
          y=18°