Question

The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle.

44°
(5x+20)°
(9x+18)°

Answer 1

The smallest angle is 44°

Given that the sum of the interior angles of a triangle is 180 degrees :

44+5x+20+9x+18=180

14x=98

x=7

The angls of the triangle are:

44°

55°

81°