15. Of the three angles of a triangle, 1 point the second one is one third of the first and the third angle is 26 degrees mor

Question

15. Of the three angles of a triangle, 1 point
the second one is one third of the first
and the third angle is 26 degrees
more than the first angle. Find the
smallest of all the three angles of the
triangle.​

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Peyton 4 days 2021-10-11T08:00:40+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-11T08:01:40+00:00

    Answer:

    FOR THIS SUM THERE ARE TWO METHODS I GIVE U BOT U CHOOSE YOUR WHICH LOOKS YOU EASY

    HARD METHOD:

    Let the first angle =∠A =x 

     the second angle = ∠B = 1/3x

    and the third angle = ∠C = x + 26°

     ∠A + ∠B + ∠C = 180°

     x + 1/3x + x+26° = 180°

     7x/3 + 26° = 180°

     7x/3 = 180° – 26°

      7x/3 = 154°

     x = 154° x 3/7

     x = 66°

    ∠A = x= 66°

    ∠B =1/3 x = 1/3 x 66° = 22°

    ∠C = x + 26° = 66°+ 26° = 92°

    EASY METHOD:

    A +B+C=180

    B=1/3×A

    C=26+A

    A/3+26+A+A=180

    2A+A/3=154

    7A/3=154

    7A=462

    A=66

    B=22

    C=92

    BOTH ARE SAME MARK BRAINLIEST I GAVE U 2 METHODS THAT’S WHY

    Step-by-step explanation:

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