In the quadrilateral above, if D + F = 137°, what is the measure of E?

Answer 1

To find the measure of angle E, we need to use the fact that the sum of the angles in a quadrilateral is always 360 degrees.

Since we know that D + F = 137 degrees, we can substitute that into the equation:

D + F + E + H = 360

137 + E + H = 360

Now, we can simplify this equation by subtracting 137 from both sides:

E + H = 223

Since H = 90 degrees (as it is a right angle), we can substitute that into the equation above:

E + 90 = 223

Subtract 90 from both sides to solve for E:

E = 223 - 90
E = 133

Therefore, the measure of angle E is 133 degrees.