The largest angle in a triangle is 8 times the smallest angle. The smallest angle is 49° less than the middle angle. Determine the smallest angle.

Question

step by step solution

Answer 1

Hi,

 

Let's call the measure of the smallest angle x

then the middle angle = x+49

and the largest angle = 8x

 

We know that the sum of interior angles of a triangle equal 180 degrees

we can write

8x + x + x+49 = 180

10x + 49 =180 (subtracted 49 from both sides)

10 x = 131

x = 13.1°