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, \(2y+55 + 71=180\). First, simplify the left - hand side: \(2y+126 = 180\). Then, subtract 126 from both sides: \(2y=180 - 126=54\). Divide both sides by 2: \(y = 27\).

Answer:

\(x = 50\), \(y = 27\)