Question

find the value of x and y. 55° 2y° 71° 40° x° x = y =

Explanation:

Step1: Find x using triangle - angle sum

In the right - angled triangle on the right, the sum of interior angles of a triangle is 180°. So $x + 40+90 = 180$.
$x=180-(40 + 90)=50$.

Step2: Find y using triangle - angle sum

In the triangle on the left, the sum of interior angles of a triangle is 180°. So $2y+55+(180 - 71)=180$. First, simplify the equation: $2y+55 + 109=180$, then $2y+164 = 180$. Subtract 164 from both sides: $2y=180 - 164 = 16$. Divide both sides by 2: $y = 8$.

Answer:

$x = 50$
$y = 8$