Question

In circle Y, what is mZ1?
6°
25°
31°
37°

Answer 1

Answer:

31°

Step-by-step explanation:

To answer this question;

• we need to know that a measure of the interior angle is  half-summit of the arcs that comprise it and its opposite angle.

Therefore, in this case;

m∠ 1 = $\frac{1}{2}(37 + 25)$

Thus;

m∠1 =$\frac{1}{2}(62)$

      = 31°

Therefore, in the circle Y, m∠1 is 31°

Answer 2

Data;

• Angle a = 37
• Angle b = 25

Interior Angles in a Circle

The measure of the interior angle is  half sum of the arcs that comprise it and its opposite angle.

The opposite angles are

• 37
• 25

Th interior angle is calculated as

$m \angle 1 = \frac{1}{2}( 37 + 25)\\ m \angle 1 = \frac{1}{2} (62)\\m \angle 1 = 31$

The value of interior angle 1 is equal to 31°

Learn more on cyclic quadrilaterals here;

https://brainly.com/question/26690979