The measures of the three angles of a triangle are given by 2x + 1, 3x – 3, and 9x. What is the measure of the smallest angle? * About the author Aubrey

Answer: 27° Step-by-step explanation: The sum of three angles of a triangle is 180°.So we have,(2x+1)+(3x-3)+9x=180° =>2x+3x+9x+1-3=180 =>14x-2=180 =>14x=180+2 (By transposing -2 to RHS) =>14x=182 =>x=182/14 (By diving both sides by 14) =>x=13° The measures of the three angles are:- 2×13+1=27° 3×13-3=36° 9×13=117° Hence,the measure of the smallest angle is 27°. Hope it helps! Reply

Answer:27°

Step-by-step explanation:The sum of three angles of a triangle is 180°.So we have,(2x+1)+(3x-3)+9x=180°

=>2x+3x+9x+1-3=180

=>14x-2=180

=>14x=180+2 (By transposing -2 to RHS)

=>14x=182

=>x=182/14 (By diving both sides by 14)

=>x=13°

The measures of the three angles are:-

2×13+1=27°

3×13-3=36°

9×13=117°

Hence,the measure of the smallest angle is 27°.

Hope it helps!

Themeasureofsmallestangleis27°.Hope it helps you.