Question

First angle is 2x and 2nd angle is 3x-5 in a linear pair Write angle measure in degrees Please tell


​

Answer 1

Answer:

∠1 = 74°

∠2 = 106°

Note:

★ Linear pair : Two adjacent angles are said to be Linear pair if they together form a straight line angle .

★ Sum of linear pair angles is 180°

Solution:

We have ;

∠1 = 2x

∠2 = 3x - 5°

Also,

∠1 and ∠2 are linear pairs of angles ,

Thus,

=> ∠1 + ∠2 = 180°

=> 2x + 3x - 5° = 180°

=> 2x + 3x = 180° + 5°

=> 5x = 185°

=> x = 185°/5

=> x = 37°

Thus,

∠1 = 2x = 2×37° = 74°

∠2 = 3x-5° = 3×37° - 5° = 111° - 5° = 106°

Hence,

∠1 = 74°

∠2 = 106°