Two supplementary angles differ by 44º. Find the angles.please answer me
Answers
Answer:
Let the angle be x
and its supplement be y
A/q
x - y = 44
x = y + 44 .........(1)
Again,
Sum of suppliment angle is 180°
x + y = 180°
y + 44 + y = 180° 【 From....(1)】
2y = 180 - 44
2y = 136
y = 136/2 = 68°
and from ...(1)
x = y + 44
68 + 44
= 112°
Hence the two supplementary angle are 68° and 112° .
Step-by-step explanation:
solution
given differnce between 2 supplementary angle= 44
Suppose x and y are 2 supplementary angle
according to condition
we get
X - Y = 44
now
x = 44 +y ---------(1)
aa we all know
supplementary angle total is 180
now
X + Y = 180
now put X =44 +y
we get,
44 +Y +Y =180
44 +2Y = 180
2 Y = 180 -44
2 Y = 136
Y = 136/2
Y = 68
put y = 68 in equation 1
X = 44 +Y
=44 +68
=112