In triangle FGH, mF is 100°, mG is 40°, and mH is 40°. The exterior angles of triangle FGH are J, K, and L, and they are adjacent to F, G, and H, respectively.
What is mK?
adjacent interior and exterior angle pairs are supplementary. So,
mG + mK = 180
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To find the measure of angle K, we need to use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
In this case, the exterior angle K is adjacent to the interior angles G and H.
So, mK = mG + mH
Given that mG is 40° and mH is also 40°, we can substitute the values:
mK = 40° + 40°
mK = 80°
Therefore, mK is 80°.
To find mK, the measure of angle K, we need to recall a property of triangles: the sum of the measures of the interior angles of a triangle is always 180°.
In triangle FGH, we are given that mF is 100°, mG is 40°, and mH is 40°. To find the measure of angle K, we first need to find the measure of angle J.
To find mJ, the measure of angle J, we use the exterior angle theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. So, mJ = mF + mG.
mJ = 100° + 40° = 140°.
Now, to find mK, we use the same principle. The measure of angle K is equal to the sum of the measures of its two remote interior angles (mG and mH). Therefore, mK = mG + mH.
mK = 40° + 40° = 80°.
So, mK, the measure of angle K, is 80°.