Question

Angle LOM and angle MON are complementary angles. If m∠LOM = (x + 15)° and m∠MON = 48°, which equation could be used to solve forx?
A. (x + 15)° + 48° = 180°
B. (x + 15)° = 90°
C. (x + 15)° + 48° = 90°
D. (x + 15)° + 90° = 48°

Answer 1

complementary angles: the two linear angles whose sum equals to 90° are called as complementary angles..... ( definition)

now,

angle LOM and angle MON are complementary.

therefore,

according to definition,

angle LOM+ angle MON = 90°

(x+15°) +48°=90°

therefore,

the correct option is option C

hope this helps..... ❤❤❤