What is the measure of f?

The measure of angle F is also 65 degrees. The triangle provided seems to be an isosceles triangle meaning it has two equal sides. Therefore the two opposite facing sides on the bottom of the triangle tend to be the same measure. Hope this helped :)

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ap8997154 ap8997154 · Answer 2 · 2022-07-30T15:26:48+02:00

An isosceles triangle is one with two equal-length sides. The measure of ∠F in the ΔFGH will be equal to 65°. The correct option is B.

What is an isosceles triangle?

A triangle is a three-edged polygon with three vertices.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

In the given triangle, ΔGHF, the length of the two sides HG and HF are equal. Therefore, the given triangle can be considered an isosceles triangle.

Now, since in an isosceles triangle the angle between the base side and the congruent side is the same, therefore, we can write,

∠HFG = ∠HGF = 65°

∠HFG = 65°

Hence, the measure of ∠F in the ΔFGH will be equal to 65°.

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