Respuesta :

Answer:

m∠1 = 50°

m∠2 =  130°

Step-by-step explanation:

The measure of the angle formed by 2 chords  that intersect inside the circle is 1/2 the sum of the chords' intercepted arcs.

m∠1 = (53+47)/2 = 50°

m∠1 + m∠2 = 180°   ⇒  m∠2 = 180 - m∠1 = 180 - 50 = 130°

An inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle is called inscribed angle.

An Interior Angle is an angle inside a shape.

The measurement of angle 1 is 50 degrees and angle 2 is 80 degrees.

We have to determine

The measures of angles 1 and 2.

What is the inscribed angle?

An inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle is called inscribed angle.

It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

What is the interior angle?

An Interior Angle is an angle inside a shape.

The measurement of the angle 1 is inscribed angle given by;

[tex]\rm m \angle1 = \dfrac{53+47}{2}\\\\ m \angle1 = \dfrac{100}{2}\\\\ m \angle1 = 50 \ degrees[/tex]

The measure of the angle 2 is interior angle is;

[tex]\rm m \angle 1+ m \angle2 = 180\\\\100 + m\angle 2= 180\\\\m \angle2 = 180-100\\\\m \angle 2=80[/tex]

Hence, the measurement of angle 1 is 50 degrees and angle 2 is 80 degrees.

To know more about the Interior angle click the link given below.

https://brainly.com/question/2798792