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

Step-Smallest angle = 40

by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}

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

7x + 19 = 180 {Subtract 19 from both sides}

7x = 180 - 19

7x = 161 {Divide both sides by 7}

x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66