Can someone help me solve for this angle?

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2 Answers
Apr 26, 2018

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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^@#

Apr 26, 2018

Answer:

106 degrees.

Explanation:

One can draw a line from the center to the edge, creating an isosceles triangle like this:
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(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.
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