Can someone help me solve for this angle?

enter image source here

2 Answers
P dilip_k
Apr 26, 2018

enter image source here

The point L is joined with center O.

Now in DeltaZOL,OZ=OL

So angle OLZ=angle OZL=37^@

Now angle ZOL=180^@-angle OLZ-angle OZL=180^@-74^@=106^@

Adam L.
Apr 26, 2018

106 degrees.

Explanation:

One can draw a line from the center to the edge, creating an isosceles triangle like this:
enter image source here
(You know it's isosceles because two of the sides are equal to the same thing - the radius of the circle.)
Because it's isosceles, you know that the two angles not formed by the radii are equal.

Knowing that the angles in a triangle sum up to 180 degrees, you can calculate the final angle with the formula (180-(37+37)), which gives you a final result of 106 degrees.
enter image source here

Related questions
Impact of this question
1426 views around the world
You can reuse this answer
Creative Commons License