AN ANGLE IS 45 LESS THAN TWO TIME OF ITS SUPPLEMENT THEN THE GREATER ANGIE IS WHAT
Ans 2:
Class : Class 10
LET THE GREATER ANGLE BE x
SINCE x IS 45 DEGREES LESS THAN TWO TIMES OF ITS SUPPLEMENT
THEREFORE x+45=2(180-x)
=>x+45=360-2x
=>x+2x=360-45
=>3x=315
=>x=315/3
=>x=105
ANS. GREATER ANGLE IS 105
Ans 3:
Class : Class 9
The supplements would be- x degree and 2x-45 degree.
We all know that two supplements together measure 180 degrees.
So, we have-
x+2x-45=180
=3x-45=180
=3x=180+45 (On Transposing -45 to RHS becomes+45)
=3x=225
=x=225/3 (On Transposing *3 to RHS becomes /3)
=x=75 degrees (This is the first angle)
So, 2nd angle= 2x-45= 2*75-45= 150-45= 105 degrees
On checking, we have 105+75=180 degrees.
So greater angle measures 105 degrees.(Answered and proved with explanation).