Question

geometry w/data analysis (1 cr): section 3 (lms) topic 2: assessment form a (lms graded) a triangle is shown. what is x? a. 28 b. 44 c. 136 d. 224

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the third - interior angle of the triangle be \(z\). So, \(z=180-(82 + 54)\).

Step2: Calculate the third - interior angle

\[z=180-(82 + 54)=180 - 136=44^{\circ}\]

Step3: Use the linear - pair property

\(x\) and \(z\) form a linear pair. Since the sum of angles in a linear pair is 180°, and \(z = 44^{\circ}\), then \(x=180 - z\).
\[x=180 - 44=136^{\circ}\]

Answer:

C. 136