Question

The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees?

Answer 1

The smallest angle is 40.

Explanation:

2x-6+3x+5+2x+20=180

7x+19=180

7x=180-19

7x=161

x=161/7

x=23

Now,

= 2x-6

= 2×23-6

= 40

= 3x+5

= 3×23+5

=74

=2x+20

=2×23+20

=66