Question

two supplementary angles differ by 30°. find the angles

Answer 1

Hey !!! ^_^

Here is your answer

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Let the two angle be x° and (x - 30)°

As we know supplementary angle is 180°

Therefore ,

x° + (x - 30)° = 180°

2x° = 180° + 30°

2x° = 210°

x° = (210/2)°

x° = 105°

And x - 30 = 105° - 30° = 75°


The two angle of supplementary angle be 105° and 75°

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Thank you ☺️✌️

Answer 2

let ∠a=x° and ∠b=x+30°

then ,

∠a+∠b=180° (sum of supplementry angle )

x°+x+30°=180°

2x=180°-30°

x=150°÷2

x= 75°

now ,

∠a=x°=75°

∠b=x+35°=75°+35°=105°