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Take three different colour sheets , pla...

Take three different colour sheets , place one over the other and draw a triangle on the top sheet. Cut the sheets to get triangles of different colour which are identical. Mark the vertices and the angles as shown. Place the interior angles `angle1,angle2` and `angle3` on a straight line, adjacent to each other, without leaving any gap. What can you say about the total measure of the three angles `angle1,angle2` and `angle3` ?


Can you use the same figure to explain the ''Exterior angle property'' of a triangle ? If a side of a triangle is stretched, the exterior angle so formed is equal to the sum of the two remote interior angles.

Answer

Step by step text solution for Take three different colour sheets , place one over the other and draw a triangle on the top sheet. Cut the sheets to get triangles of different colour which are identical. Mark the vertices and the angles as shown. Place the interior angles angle1,angle2 and angle3 on a straight line, adjacent to each other, without leaving any gap. What can you say about the total measure of the three angles angle1,angle2 and angle3 ? Can you use the same figure to explain the ''Exterior angle property'' of a triangle ? If a side of a triangle is stretched, the exterior angle so formed is equal to the sum of the two remote interior angles. by MATHS experts to help you in doubts & scoring excellent marks in Class 9 exams.

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Knowledge Check

  • The angles of a triangle are in the ratio 1:3:5 then the greatest angle is

    A
    `5 pi // 9`
    B
    `2 pi //9`
    C
    `7 pi //9`
    D
    `11pi//9`

  • If an exterior angle of a triangle is 115^@ and one of the interior opposite angles is 35^@ , then the other two angles of the triangle are

    A
    `45^@, 60^@`
    B
    `65^@, 80^@`
    C
    `65^@, 70^@`
    D
    `115^@, 60^@`

  • One of the angles of a triangle is 65^@ . If the difference of the other two angles is 45^@ , then the two angles are

    A
    `85^@ , 40^@`
    B
    `70^@ , 25^@`
    C
    `80^@ , 35^@`
    D
    `80^@ , 135^@`

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    The angles of a triangle are in the ratio 2:3:4. Then the angles are

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