Question

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

Answer 1

Step-by-step 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,