Question

Construct a pair of tangents to
a circle of radius 4 cm inclined at an angle of 45
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Answer 1

first draw a circle of radius 4 cm

the tangents are inclined at an angle of 45 degree

by the property of cyclic quadrilateral

angle at center + angle between tangents = 180 degree

so
angle at center = 180 - 45

angle at center = 135 degree

so take any point at circumference of the circle
now draw an angle of 135 degree at center

we obtain two points on circumference
draw tangent on both point

we find that both the tangents are inclined at an angle of 45 degree