Question

what is the value of x? (the figure may not be drawn to scale.) 99° 129° x° 50 46 52 48

Explanation:

Step1: Find the interior - angle adjacent to 129°

$180 - 129=51$

Step2: Find the interior - angle adjacent to 99°

$180 - 99 = 81$

Step3: Use the triangle - angle - sum property

In a triangle, the sum of interior angles is 180°. Let the three interior angles of the triangle be 51°, 81°, and $x$. Then $51+81 + x=180$. Solving for $x$ gives $x=180-(51 + 81)=48$.

Answer:

48