Question

To draw a pair of tangents to a circle which are inclined to each
other at an angle of 35°, it is required to draw tangents at the end
points of those two radii of the circle, the angle between which is​

Answer 1

From image it is Given that :-

• O is the centre of a circle to which a pair of tangents PQ and PR from a point P touch the circle at Q and R respectively.
• ∠RPQ = 35°

To Find :-

• ∠ROQ = ?

Solution :-

we have given that,

→ ∠RPQ = 35°

and,

→ ∠OQP = ∠ORP = 90° { The angle between a tangent to a circle and the radius of the same circle passing through the point of contact is 90°} .

Therefore,

→ ∠RPQ + ∠OQP + ∠ORP + ∠ROQ = 360° {By Angle Sum Property of Quadrilaterals.}

→ 35° + 90° + 90° + ∠ROQ = 360°

→ 215° + ∠ROQ = 360°

→ ∠ROQ = 360° - 215°

→ ∠ROQ = 145° (Ans.)

Hence, The angle between radius is 145° .

Answer 2

Answer:

145°

Step-by-step explanation:

its simple...just subtract 35 from 180

180-35

=145