What are the measures of angles 1 and 2?

Question

contestada

Respuesta :

Riia Riia · Answer 1 · 2018-08-28T12:34:50+02:00

In this question we have to use the formula:

[tex] Angle \ formed \ by \ two \ chords = \frac{1}{2}(Sum \ of \ intercepted \ arcs) [/tex]

Substituting the values of the intercepted arcs in the formula, we will get

[tex] \angle 1 = \frac{1}{2} (53 + 47) = \frac{1}{2} (100) = 50 degree [/tex]

And angles 1 and 2 are linear pair.

So we will get

[tex] \angle 1 + \angle 2 = 180 [/tex]

Substituting the value of angle 1, we will get

[tex] 50 + \angle 2 = 180
\\
\angle 2 = 130 degree [/tex]

psm22415 psm22415 · Answer 2 · 2022-05-06T03:31:47+02:00

The measures of angles 1 are 50 degrees and 2 is 130 degrees.

A straight line segment joining and included between two points on a circle broadly.

The angle formed by the chord is given by;

[tex]\rm \text{Angle formed by two chord }=\dfrac{1}{2} (Sum \ of \ intercepted \ arcs)\\\\\\[/tex]

Substituting the values of the intercepted arcs in the formula

[tex]\angle 1 \rm = \dfrac{1}{2} (53+47)\\\\\angle 1 = \dfrac{100}{2}\\\\ \angle 1 = 50[/tex]

And the angle 2 is given by;

[tex]\rm \angle 1 +\angle 2=180\\\\50+\angle 2=180\\\\\angle 2=180-50\\\\\angle 2=130[/tex]

Hence, the measures of angles 1 are 50 degrees and 2 are 130 degrees.

Learn more about chord here;

https://brainly.com/question/8944240

#SPJ3