The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure

3. m<GHF= 90 degrees

4. m<DGH= 45 degrees

5. HF=5

6. DE=50

Step-by-step explanation:

3. The measure of angle DGF and EFG are 45 degrees each and 45+45 is 90 degrees. When you subtract 90 from 180, you get 90.

4. A square is also a rectangle and a rectangle has four right angles and it is a rhombus and the diagonals bisect the angles. This means that angle DGH is half of angle DGF and 90/2=45.

5. The diagonals of a square are congruent so it is also 5.

6. You use the Pythagorean Theorem and 5^2 + 5^2=50