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? *

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? *

2 thoughts on “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? *”

  1. 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!

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