A chord ML is drawn in a circle with center O. Find the angle MOL if the angle OML = 36 degrees.
| August 6, 2021 | education
Consider a triangle MOL: ОМ = OL, since these are the radii of the circle. Hence, the triangle MOL is isosceles.
In an isosceles triangle, the angles at the base are equal, which means that the angle OML = angle OLM = 36 °.
Since the sum of the angles in a triangle is 180 °, we calculate the value of the angle MOL:
MOL = 180 ° – (36 ° + 36 °) = 180 ° – 72 ° = 108 °.
Answer: The MOL angle is 108 °.
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