Question

A, b, c and d are points on the circumference of a circle with a center o. chords ab and cd intersect at the point x. if ∠axd = 94° and ∠cba = 59°, find ∠dax.

Answer 1

To find ∠DAX, apply the properties of intersecting chords and equal angles formed by chords on a circle.

Step-by-step explanation:

To find the measure of angle DAX, we need to use the properties of intersecting chords in a circle. Firstly, since chords AB and CD intersect at point X, we know that the angles formed are equal. So, ∠AXD = ∠BXC. Secondly, we can use the property that angles subtended by the same arc are equal. Therefore, ∠DAX = ∠BXC = ∠CBA = 59°.

Answer 2

∠dax=59°

Step-by-step explanation:

It is given that a, b, c and d are points on the circumference of a circle with a center o. chords ab and cd intersect at the point x. if ∠axd = 94° and ∠cba = 59°.

Now, since the chords ab and cd intersect at point x, thus ∠cba=∠dax as they form alternate angle pair.

Thus, the measure of the ∠dax is 59°.