Question

P is the centre of the circle ab is a chord angle pab=30 find angle apb

Answer 1

pa=pb=radius

so angle pab=angle pba=30

so angle apb=120 degree

Answer 2

The measure of angle APB is 120°.

Step-by-step explanation:

Given information: In circle P, AB is a chord and ∠PAB=30°.

We need to find the measure of angle APB.

$PA=PB$                  (Radius)

Triangle PAB is an isosceles triangle.

$\angle PBA=\angle PAB=30^{\circ}$           (Isosceles triangle)

$\angle PBA+\angle PAB+\angle APB=180$            (Angle sum property)

$30+30+\angle APB=180$

$60+\angle APB=180$

$\angle APB=180-60$

$\angle APB=120$

Therefore, the measure of angle APB is 120°.

#Learn more

AB and CD are equal chords of a circle with centre p if angle APB =80 then find angle CPD ​

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