Question

among two supplementry angles the measures of the larger angle is 75° more than the measures of the smaller find the measures​

Answer 1

Step-by-step explanation:

let smaller number is x

according the question

x+x+75⁰=180⁰

2x+75⁰=180⁰

2x=180⁰-75⁰=105⁰

x=105⁰÷2=52.5⁰

larger angle is=52.5+75=127.5⁰

it's a little bit complicated but I hope it will help you

Answer 2

Answer: The measure of the larger angle is 75°  more than the measure of the smaller angle, let the larger angle be x°  

Then,

⟹(180°−x°)+75°=x°

⟹255°−x°=x°

⟹ 255° =x°+x°

⟹255° =2x

⟹x=255/2

⟹x= 127.5°

Larger angle = 127.5°

Smaller angle =(127.5°-75°) = 52.5°

and 127.5°+52.5° = 180° so this answer is correct.