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°.
Hope this helps! Comment below for more questions.
When substituting, you want to take the y value from one equation and plug it into the y variable in the other equation to find the x value. When you find the c value, you plug the number into one of the equations to get your y value.
