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ACT Exam  >  ACT Questions  >  In the figure below, ABCD is a trapezoi... Start Learning for Free
In the figure below, ABCD is a trapezoid. E lies on line AD, and angle measures are as marked. What is the measure of angle CDB?
  • a)
    25◦
  • b)
    30◦
  • c)
    55◦
  • d)
    80◦
  • e)
    100◦
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In the figure below, ABCD is a trapezoid. E lies on line AD, and...
The correct answer is c. To find the measure of angle CDB in the figure, it is helpful to recognize that the sides BC and AD are parallel (definition of trapezoid) and are connected by the transversal BD.
Angles CBD and ADB are alternate interior angles, and thus are equal and both measure 25◦. Because A, D, and E all lie along the same line, angle ADE = 180◦. Because angle ADE is made up of angles ADB, CDB, and CDE, the measures of these three angles add up to 180◦ : 25◦ + CDB + 100◦ = 180◦ thus the measure of angle CDB is 55◦
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Most Upvoted Answer
In the figure below, ABCD is a trapezoid. E lies on line AD, and...
The correct answer is c. To find the measure of angle CDB in the figure, it is helpful to recognize that the sides BC and AD are parallel (definition of trapezoid) and are connected by the transversal BD.
Angles CBD and ADB are alternate interior angles, and thus are equal and both measure 25◦. Because A, D, and E all lie along the same line, angle ADE = 180◦. Because angle ADE is made up of angles ADB, CDB, and CDE, the measures of these three angles add up to 180◦ : 25◦ + CDB + 100◦ = 180◦ thus the measure of angle CDB is 55◦
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In the figure below, ABCD is a trapezoid. E lies on line AD, and angle measures are as marked. What is the measure of angle CDB?a)25b)30c)55d)80e)100Correct answer is option 'C'. Can you explain this answer?
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