To find x, we need to set up an equation using the information given:
Angle 4 = 3x - 3
Since angle 4 and angle ADE are the same (as per the information given), we can say that:
3x - 3 = ADE
Since E is the midpoint of diagonal AC, angles ADE and CDE are congruent.
Therefore, ADE = CDE
Which means:
3x - 3 = CDE
Since angle CDE is a right angle in a square, it's equal to 90 degrees.
Therefore:
3x - 3 = 90
Now, we solve for x:
3x - 3 = 90
3x = 93
x = 31
Therefore, x = 31
Final Answer: 31.
ABCD is a square. The measure of angle 4 = 3x - 3. Find x.
Square ABCD, diagonals bisect at E. Angle ADE is angle 4
ABCD is a square. The measure of angle 4 = 3x - 3. Find x.
Square ABCD, diagonals bisect at E. Angle ADE is angle 4
16
47
29
45
1 answer