Question

two angles are supplementary if one of them is 30 degree less than 5 times the other find the angles

Answer 1

hiiiii friend
here is your answer
assuming the one angle be "k°"
so, another must be (5 × k - 30°)
as these angles are supplementary to each other;
then,
k + 5k - 30° = 180°
6k = 180° + 30°
k = 210°/6
k = 35°

so, first angle be 35°
and second angle be 145°

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Answer 2

let angles are x and 5 (x - 30)

x + 5 (x - 30) = 180

x + 5x - 150 = 180

6x = 330

x = 55°

5 (55 - 30) = 125°

hence angles are 55° and 125°


Thanks