Answer:
x = 22.5
∠ADE = 67.5
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180° and the given is a right triangle so we can find the value of x easily:
90 + x + 3x = 180 add like terms
90 + 4x = 180 subtract 90 from both sides
4x = 90 divide both sides by 4
x = 22.5
To find the measure of angle ADE we use the same equation:
90 + 22.5 + ∠ADE = 180 add like terms
112.5 + ∠ADE = 180 subtract 112.5 from both sides
∠ADE = 67.5
