Question

Find the measures of two supplementary angles if their measures are in the given ratio.

11:25

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Answer 1

Answer:

55,125

Step-by-step explanation:

supplementary=180°

let us take 11x and 25x

so, 11x+25x=180°

=36x=180°

=x=180/36

=x=5

11×5=55° , 25×5=125°

HOPE IT HELPED!!

Answer 2

Ratio of supplementary angles = 11 : 25

let one supplementary angle be :- 11a

and another be :- 25a

As we know,

sum of supplementary angles is 180°

so, 11a + 25a = 180°

36a = 180°

a = 180°/36

a = 5°

first supplementary angle = 11a = 11 × 5 = 55°

second supplementary angle = 25a

= 25 × 5° = 125°

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