Question

K is the midpoint of FG and L is the midpoint of FH. What is m H

Answer 1

Answer:

85°

Step-by-step explanation:

From the midline theorem.

A segment joining the midpoints of 2 sides of a triangle is parallel to the third side.

Thus KL and GH are parallel lines, thus

∠ H = ∠ KLF = 85° ( corresponding angles )

Answer 2

The value of m∠H is 85°, as it is equal to it's corresponding angle m∠L.

What is a triangle?

A triangle is a two dimensional geometrical figure consists of three sides. It also has three angles inside.

What are corresponding angles?

"The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal."

Given, K and L are midpoints of two sides FG and FH of the triangle FGH respectively.

We know from the mid point theorem, the segment that connects the midpoints of two sides of a triangle is parallel to the third side.

Therefore, KL║GH

Therefore, ∠KLF = ∠GHL, as those two angles are corresponding angles.

Hence, m∠H = 85°

Learn more about corresponding angle here: https://brainly.com/question/20766807

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