Question

unit 4 triangle properties test
given the following information below, find the values for x and y.
71° 132°
x=
y=

Explanation:

Step1: Find the value of \( y \)

Since \( y + 132=180 \) (linear - pair of angles), then \( y = 180 - 132 \).

$$y=48$$

Step2: Find the value of \( x \)

Using the angle - sum property of a triangle (\(x + 71+y=180\)). Substitute \(y = 48\) into the equation: \(x+71 + 48=180\).
First, simplify the left - hand side: \(x+(71 + 48)=x + 119\).
Then, solve for \(x\): \(x=180-119\).

$$x = 61$$

Answer:

\(x = 61\), \(y = 48\)