Question

In the given figure 2, PQ and PR are two tangents to a circle with centre O.If the angle QPR=46°,then angle QOR equals:

Answer 1

Answer:

∠QOR = 134°

Step-by-step explanation:

In the given figure 2, PQ and PR are two tangents to a circle with centre O.If the angle QPR=46°,then angle QOR equals:

PQ is tangent so ∠PQO = 90°

PR is tangent so ∠PRO = 90°

∠QPR = 46°

∠QOR = x°

PQOR is a quadrilateral so sum of angles of a quadrilateral = 360°

∠PQO +  ∠PRO + ∠QPR + ∠QOR  = 360°

=> 90° + 90° + 46° + x° = 360°

=> x° = 134°

∠QOR = 134°