This is another quadrilateral and it doesn't make sense. I need help with this problem. This is difficult and doesn't add up

Question

find the measure of angle C. When angle E=85 degrees angle D=21x+6 angle B=21x+1 and angle C equals 25x

Answer 1

The sum of the measures of the 4 angles is 360, so the equation is...

 

Angle E + Angle D + Angle B + Angle C = 360

 

85 + 21x + 6 + 21x + 1 + 25x = 360

 

Combine terms.

67x + 92 = 360

Subtract 92

67x = 268

Divide by 67

x = 4

 

So, Angle D = 21*4 + 6 = 84 + 6 = 90

Angle B = 21*4 + 1 = 84 + 1 = 85

Angle C = 25x = 25*4 = 100

Angle E = 85

 

Check: 90 + 85 + 100 + 85 = 360

 

Hope it helps, Nathan.

 

Mary Ann