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In the diagram, line \(\overline{EC}\) is a diameter of the circle ABCDE. If angle ABC equals...

Mathematics
WAEC 2021

In the diagram, line \(\overline{EC}\) is a diameter of the circle ABCDE.

If angle ABC equals 158°, find ∠ADE

  • A. 112
  • B. 90
  • C. 68
  • D. 22
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Correct Answer: Option C
Explanation

In the given diagram;

<EBC = 90º (< in a semi-circle)

< ABE = 158º - 90º = 68º

\(\therefore\) < ADE = 68º ( <s in same segment)

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free