In an isosceles triangle DEF, angle E = 118 * DO – the height of this triangle, find the angle ODF.

univerkov | September 23, 2021 | education

The angles of a triangle add up to 180 °.

Since triangle DEF is isosceles, the angles at the base are equal,

<D = <F = (180 ° – <E): 2 = (180 ° – 118 °): 2 = 31 °;

The ODF triangle is rectangular, since OD is the height in the DEF triangle;

<ODF = 90 ° – <F = 90 ° – 31 ° = 59 °

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