146k views
1 vote
Can you please help me

User Bamdad
by
5.1k points

1 Answer

4 votes

EXPLANATION

Given the circle with the angles, by definition, when two chords intersect inside a circle, four angles are formed.

At the point of intersection, two sets of congruent vertical angles are formed in the corners of the x that appears.


\text{Angle formed by two chords=}(1)/(2)\cdot(\text{m arc AB + m arc CD)}

Replacing terms:


\text{Angle formed by two chords=}(1)/(2)\cdot(140+150)

Adding numbers:

[tex]mSimplifying:[tex]mThe solution is x=145 degrees
User Japhyr
by
4.5k points