The difference of two complementary angles is 40. Then find the angles.
Answers
Answered by
0
Answer:
By definition: Two angles are Complementary when they
add up to
90
∘
so let's call the angles
α
and
β
α
+
β
=
90
∘
α
−
β
=
40
∘
α
=
40
∘
+
β
substitute:
α
+
β
=
90
∘
(
40
∘
+
β
)
+
β
=
90
∘
2
β
=
50
∘
β
=
25
∘
α
+
β
=
90
∘
α
+
25
∘
=
90
∘
Answered by
1
Answer:
25 and 65
Step-by-step explanation:
one angle suppose X
then other angle will be X+40
sum of complementary angle =90
now
X+X+40=90
2x+40=90
2x=50
X=25
then one angle is 25 and other angle is 65
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