Maths-
General
Easy

Question

Two angles form a linear pair. The measure of one angle is twice measure of the other. Find the measure of each angle.

hintHint:

  • Linear pair is a pair of adjacent angles where non common sides forms a straight line.it can also be defined as two adjacent angles that add up to 180 degrees.

The correct answer is: 120^0


    Solution:
    •  We have been given in the question that two angles form a linear pair.
    • We have also been given that the measure of one angle is twice the measure of other
    • We have to find the measure of each angle.
    Step 1 of 1:
    We have given two angle form linear pair and one angle measure two times the other
    So,
    Let the one angle be x
    The other angle will be 2x.
    Since, both form linear pair.
    So,
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x plus 2 x equals 180 to the power of ring operator end cell row cell 3 x equals 180 to the power of ring operator end cell row cell x equals 60 to the power of ring operator end cell end table
    Therefore,

    One angle is x = 60o

    And other angle will be
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 x equals 2 cross times 60 end cell row cell equals 120 to the power of 0 end cell end table

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