Maths-
General
Easy

Question

The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.

hintHint:

  • Complimentary angles are defined as two angles whose sum is 90 degrees. The measure of angle that equal to its compliment is 45 degrees.

The correct answer is: 75^0


    Solution:
    • We have been given in the question that the measure of an angle is 5 times the measure of its complement.
    • 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 five times the other
    So,
    Let the one angle be x
    The other angle will be 5x.
    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 5 x equals 90 to the power of 0 end cell row cell 6 x equals 90 to the power of 0 end cell row cell x equals 15 to the power of 0 end cell end table
    Therefore,
    One angle is x = 15o
    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 5 x equals 5 cross times 15 end cell row cell equals 75 to the power of 0 end cell end table

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