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1) Draw a circle of radius 32 2) Draw a radius (meeting the perimeter at A) 3) Based on the radius, construct an angle at the centre of the circle of 100° - draw a second radius (meeting the perimeter at B) 4) Based on the second radius, construct an angle at the centre of the circle of 120° - draw a third radius (meeting the perimeter at C) Note : the angle between the third and first radii measures 140°. 5) Draw chords joining A to B, B to C, and C to A. The triangle ABC has angles measuring 50°, 60° and 70°. NOTE : The process is based on the Theorem that the angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference.
100/2 = 50; 50/2 = 25o
40 degrees
Acute angle