peiwenchin7 peiwenchin7
  • 16-07-2021
  • Mathematics
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3
Work out the size of angle ADE.
Give reasons for your working.

3 Work out the size of angle ADE Give reasons for your working class=

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day1005
day1005 day1005
  • 16-07-2021

Answer:

140 degrees

Step-by-step explanation:

Because angle ABC is a right angle (90°), we got an equation: x + 10° = 90°

x + 10° = 90°

x = 90° - 10°

x = 80°

Angle DCB is: 2 x 80° - 20° = 140°

Also angle BAD is a right angle (90°)

Because the total sum of interior angles of a quadrilateral is 360°, that means angle ADC equals: 360° - (90° + 90° + 140°) = 40°

Because ∠ADC + ∠ADE = 180°, angle ADE equals: 180° - 40° = 140°

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