Question

Two suplimentary angles differ by 32°. The smaller of the two measures is

Answer 1

Answer:

74°

Step-by-step explanation:

Let the smaller angle be x°.

=> The greater angle = ( x + 32 )° [Since, the angles differ by 32°]

As we know, supplementary angles adds up to give the result 180°. The following equation can be formed,

x° + ( x + 32 )° = 180°

=> x° + x° + 32° = 180°

=> 2x° = 180° - 32°

=> x = 148° / 2

=> x = 74°

Hence, the smaller of the two will measure 74°.