Help I don’t get it ?

Answer ∠DEG: 54°
Answer ∠GEF: 36°

Step 1: Write your equation

This question is asking you to determine the measurement of two angles. To begin, you must first solve for x. By looking at ∠DEH, you can see that these angles should equal 90°, since ∠DEF is equal to ∠DEH. Let’s solve for x by writing an equation using the information above. Add the two given angles and equal them to 90 degrees.

6x+4x=90

Step 2: Solve for x

To find the degrees we must first solve our created equation. We need to combine like terms then divide to get x alone.

6x+4x=90
10x=90
x=9

Step 3: Substitute x to find the degree of each angle

The last step will be the most simple. Substitute x into each angle to solve.

6x= 6(9) = 54°
∠DEG= 54°

4x= 4(9)= 36°
∠GEF= 36°

These are your answers! You can check that they are right by adding them, and ensuring that they equal 90°.

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