Math, asked by vkeerthikritheeu, 1 month ago

Two suplimentary angles are in the ratio 3 : 2. Find the angles
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Answers

Answered by kaushikibhatta12
0

105° and 70°

Answer:

Two angles are supplementary i.e. sum of their angles is equal to 180 degree.

ratio of the two angles = 3:2

let the two angles be 3x and 2x .

According to the problem,

3x + 2x = 180

5x = 180

x = 180/5

x is 36.

therefore the two angles are - 3*36 i.e. 108°

and 2 * 36 i.e. 72°

Answered by roshni542
3

SOLUTION:

➜Given, the "2 supplementary angles" are in the given ratio 3:2

➜Let the 2 angles be 3x and 2x.

➜For supplementary angles, we know that,

➜If 2 angles tends to be "supplementary angles", if the sum of the 2 angles is 180°

➜Since, 3x and 2x are supplementary, then,

→3x + 2x = 180°

→5x = 180°

→x =  \frac{180°}{5}  = 36

→3x = 3 \times 36° = 108°

And,

→2x = 2 \times 36° = 72°

➜Hence the two supplementary angle are 108° And 72°

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