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Question
The picture represents a ruler and a compass construction of ∠GAB, which measures _____ .
The picture represents a ruler and a compass construction of ∠GAB, which measures _____ .
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Solution
The correct option is C 37.5°
Steps of construction:
(i) Draw a line segment AB.
(ii) Construct ∠EAB = 90°.
(iii) Bisect ∠EAC = 30° to get ∠FAB = 75°.
(iv) Now, bisect ∠FAB to get ∠GAB = 37.5°.
Steps of construction:
(i) Draw a line segment AB.
(ii) Construct ∠EAB = 90°.
(iii) Bisect ∠EAC = 30° to get ∠FAB = 75°.
(iv) Now, bisect ∠FAB to get ∠GAB = 37.5°.
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