Question

if the angles (2x-10)° and (x-5)° are complementary angles, find x.​

Answer 1

Answer:

35°

Step-by-step explanation:

Since they are complementary angles,

therefore,(2x-10)°+(x-5)°=90°

→(3x-15)°=90°

→3x=105°

→x=105°/3

→x=35°

Answer 2

Step-by-step explanation:

Given : Angles (2x - 10)° and (x - 5)° are complementary angles.

To find: Value of x = ?

Solution:

Let the measure of the angle be x°.  

Since, angles are complementary. Two angles, the sum of whose measures is 90°, are called complementary angles :  

∴ (2x - 10)° + (x - 5)°= 90°

=> 2x + x - 10° - 5° = 90°

=> 3x - 15° = 90°

=> 3x = 90° + 15°

=> 3x = 105°

=> x = 105°/3

=> x = 35°

Hence,  the value of x is 35°.