Question

1. What is the value of x?
19
31
38
62

Answer 1

I hope this helps you


31 and x looking same arc

x=31

Answer 2

Answer:  The value of 'x' is 31.

Step-by-step explanation: As shown in the modified attached figure, AC and BD are two intersecting chords, where ∠CBD = x° and ∠CAD = 31°.

We are to find the value of 'x'.

The measures of the angles on the circumference of a circle subtended by the same chord (arc) are equal.

In the attached figure, ∠CBD and ∠CAD are angles subtended at the circumference of the circle by the same arc CD.

Therefore, we must have

$\angle CBD=\angle CAD\\\\\Rightarrow x^\circ=31^\circ.$

Therefore, the value of 'x' is 31.

Thus, (B) is the correct option.