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The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The
ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its
smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the
largest angle of the quadrilateral?
 
(Important : you should answer only the numeric value)
    Correct answer is '180'. Can you explain this answer?
    Most Upvoted Answer
    The smallest angle of a triangle is equal to two thirds of the smalles...
    Given information:
    - Smallest angle of triangle = 2/3 * smallest angle of quadrilateral
    - Ratio of angles in quadrilateral = 3:4:5:6
    - Largest angle of triangle = 2 * smallest angle of triangle

    Solution:

    Step 1: Finding the angles of the quadrilateral
    - Let the common ratio be x
    - The angles of the quadrilateral are 3x, 4x, 5x, and 6x
    - Sum of angles of a quadrilateral = 360 degrees
    - Therefore, 3x + 4x + 5x + 6x = 360
    - 18x = 360
    - x = 20
    - Angles of quadrilateral = 60, 80, 100, 120 degrees

    Step 2: Finding the angles of the triangle
    - Smallest angle of triangle = 2/3 * 60 = 40 degrees
    - Largest angle of triangle = 2 * 40 = 80 degrees
    - Sum of angles in a triangle = 180 degrees
    - Therefore, the remaining angle = 180 - 40 - 80 = 60 degrees

    Step 3: Calculating the sum of required angles
    - Second largest angle of triangle = 60 degrees
    - Largest angle of quadrilateral = 120 degrees
    - Sum = 60 + 120 = 180 degrees
    Therefore, the sum of the second largest angle of the triangle and the largest angle of the quadrilateral is 180 degrees.
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    The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. Theratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice itssmallest angle. What is the sum, in degrees, of the second largest angle of the triangle and thelargest angle of the quadrilateral?(Important : you should answer only the numeric value)Correct answer is '180'. Can you explain this answer?
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    The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. Theratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice itssmallest angle. What is the sum, in degrees, of the second largest angle of the triangle and thelargest angle of the quadrilateral?(Important : you should answer only the numeric value)Correct answer is '180'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. Theratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice itssmallest angle. What is the sum, in degrees, of the second largest angle of the triangle and thelargest angle of the quadrilateral?(Important : you should answer only the numeric value)Correct answer is '180'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. Theratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice itssmallest angle. What is the sum, in degrees, of the second largest angle of the triangle and thelargest angle of the quadrilateral?(Important : you should answer only the numeric value)Correct answer is '180'. Can you explain this answer?.
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