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? *

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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.