Geometry · Guided Practice
Angles in Shapes
8 questions with answers and video solutions. Try each one before revealing the answer.
No hints on this one — its full written solution is with the answer.
Answer
AC is a tangent to the circle, centre O, with point of contact B.
DE is a diameter of the circle and F is a point on the circumference.
Angle ABD is 77° and angle DEF is 64°.
Calculate the size of angle BDF.
Answer
The diagram below shows a circle, centre O.
AB and CB are tangents to the circle.
AC and ED are parallel.
Angle AOD is .
Calculate the size of angle ABC.
Answer
In the diagram:
ABE is a tangent to the circle centre O.
Angle DBE is
Calculate the size of angle CAB.
Answer
The diagram below shows a circle with centre O.
AB is a tangent to the circle at the point C.
CD is a diameter of the circle.
Angle EOD is .
Calculate the size of angle ACE.
Answer
A logo consists of an H shape and a regular decagon.
The diagram represents the logo.
Calculate the size of the shaded angle.
Answer
The diagram below shows a circle centre O.
• AC is a tangent to the circle at the point B.
• CE is a tangent to the circle at the point D.
• DG and BF are diameters of the circle.
• Angle DFE is 125°.
Calculate the size of shaded angle BCD.
Answer
In the diagram, ABCDE is a regular pentagon.
• Angle EFA is 65°.
• FAB is a straight line.
Calculate the size of angle FEA.
Answer
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More angles in shapes questions
New questions, modelled on past paper questions and checked against their marking instructions. Not reprints — you have not seen these before.
Practice questions courtesy of Maths.scot. Full written solutions are on his site — the links above go straight to them.