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2 years ago

In the figure above, the measure of <BDE is 20 and CD is perpendicular to DE. What is the measure of <ADC ?

Mathematics

1 answer:

notsponge [240]2 years ago

6 0

Answer:

∠ ADC = 110°

Step-by-step explanation:

∠ CDE = 90° ( angle between perpendicular lines ) , then

∠ CDB + ∠ BDE = 90°

∠ CDB + 20° = 90° ( subtract 20° from both sides )

∠ CDB = 70°

∠ ADC and ∠ CDB are adjacent angles on a straight line and sum to 180° , so

∠ ADC + ∠ CDB = 180° , that is

∠ ADC + 70° = 180° ( subtract 70° from both sides )

∠ ADC = 110°

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3 years ago

In the figure above, the measure of <BDE is 20 and CD is perpendicular to DE. What is the measure of <ADC ?​

In the figure above, the measure of <BDE is 20 and CD is perpendicular to DE. What is the measure of <ADC ?