Answer:
Explanation:
The sum of the angles in a triangle is 180 degrees. The angles in the given triangle are 2x, 6x + 4 and 2x + 6
Thus,
2x + 6x + 4 + 2x + 6 = 180
By collecting like terms, we have
2x + 6x + 2x + 4 + 6 = 180
10x + 10 = 180
10x = 180 - 10 = 170
x = 170/10
x = 17
The smallest angle in the triangle is 2x. Thus,
Smallest angle = 2 * 17
Smallest angle = 34 degrees