Answer:
x = 30
Step-by-step explanation:
We can see the information given to us that there is one '2x' angle and one 'x' angle and they both sum to 90° as these two angles are located on a right angle, we want to find the value of x. We can set up an equation to find the value of 'x' however we must remember to keep both sides of the equation the same to ensure a correct solution.
⇒ Form equation
→ 2x + x = 90
⇒ Simplify equation and collect 'x' terms together
→ 3x = 90
⇒ Divide both sides by 3 to isolate 'x'
→ x = 30°
⇄ We can substitute x = 30 back into 2x + x = 90 to check our solution, if we get 90 on both sides then x = 30 is correct
→ 2x + x = 90
⇒ Substitute in x = 30
→ 60 + 30 = 90
⇒ Simplify
→ 90 = 90
Now we know that x = 30 is the correct solution
