Maths-
General
Easy

Question

hintHint:

  • The base angle theorem states that if the sides of a triangle are congruent then the angles opposite these sides are congruent.

The correct answer is: x = 500 : y = 500 : z = 1300


    • We have given a figure with three unknown angles x, y, z.
    • We have to find the value of x, y, z.
    Step 1 of 1:
    We have given figure,


    In , A B C comma A C equals B C
    straight angle B A C equals straight angle C A B equals 25 to the power of ring operator
    Now, By Exterior angle theorem of triangle,

     straight angle B A C plus straight angle C A B equals straight angle A C D
    So,

     straight angle A C D equals straight angle B A C plus straight angle C A B

    straight angle A C D equals 25 plus 25

     = 50
    So, x = 500
    Since, AC = AD
    Then

     y = x = 500
    Now, y and z form linear pair then,

     y plus z equals 180 to the power of ring operator

     500 + z = 1800

     z = 1300
    So,

     x = 500

     y = 500

     z = 1300

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