Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
in △xyz, yz = 12, zx = 18 and xy = 7. which list has the angles of △xyz in order from largest to smallest?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation \(60+(x + 22)+80=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(60 + 80+(x + 22)=140+(x + 22)=x+162\). So the equation becomes \(x + 162=180\).

Step3: Solve for x

Subtract 162 from both sides of the equation: \(x=180 - 162\).
\(x = 18\)

Answer:

18