If 2x degree and 3x degree are adjacent angle in linear pear , find them
Answers
Answer:
its very simple
Step-by-step explanation:
if they are a linear pair their sum would be 180 degrees so 2x+3x=180 degrees then 5x = 180 degrees hence x = 36 there two angles are 72 and 108
✪ Question ✪
If 2x° and 3x° are adjacent angles in linear pair, find them.
✪ Given ✪
2x° and 3x° are adjacent angles in linear pair.
✪ To find ✪
The measure of the angles.
✪ Solution ✪
As we know that the sum of two adjacent angles in linear pair is 180°, we can say:-
2x + 3x = 180
⇒5x = 180
⇒x = 180/5
⇒x = 36
✪ Hence ✪
x = 36
2x° = (2 × 36)° = 72°
3x° = (3 × 36)° = 108°
✪ Therefore ✪
The angles are 72° and 108° respectively.
-------------------------------------------------------------
✪ Verification ✪
2x + 3x = 180
⇒72 + 108 = 180
⇒108 = 108
So, L.H.S = R.H.S.
Hence, verified.
๑ Hope this helps you. ๑