Question

2 supplementary Angles differ by 32. find the greatest angle​

Answer 1

Step-by-step explanation:

Let the smallest angle be 'x'

x + (x+32) = 180°

2x + 32 = 180°

2x = 180° - 32°

2x = 148°

x = 148°/2 = 74°

So, the smallest angle is 74°

Greatest angle = 180°- smallest angle

======> 180°-74° = Greatest angle

======> 148°

Therefore, the answer is 148°