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Angle J and angle M are base angles of isosceles trapezoid JKLM. If the measure of angle J equals 17x+7 and the measure of angle M equals 14x+10 find the measure of angle K

Angle J and angle M are base angles of isosceles trapezoid JKLM If the measure of angle J equals 17x7 and the measure of angle M equals 14x10 find the measure o class=

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Answer

Explanation

To answer this, we need to note that the base angles of an isoscelles are equal to each other. So,

Angle J = Angle M

Angle J = 17x + 7

Angle M = 14x + 10

17x + 7 = 14x + 10

17x - 14x = 10 - 7

3x = 3

Divide both sodes by 3

(3x/3) = (3/3)

x = 1

Angle J = 17x + 7 = 17(1) + 7 = 17 + 7 = 24°

Angle M = 14x + 10 = 14(1) + 10 = 14 + 10 = 24°

Then, we know that the sum of angles in a triangle is 180°

So,

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