Two supplementary angles have measurements of (3x)° and (10x – 15)°. What are the measures of the
1 answer:
Sorry for the way it came out but the Answer:
2
x
+
5
=
43
∘
3
x
−
10
=
47
∘
Explanation:
A complementary angles means angles that add up to
90
degrees. The two angles given in the question are complementary angles.
So
Our first angle
(
2
x
+
5
)
plus the second angle
(
3
x
−
10
)
is equal to
90
degrees
(
2
x
+
5
)
+
(
3
x
−
10
)
=
90
Now we solve for
x
, first we add up the like terms
2
x
+
3
x
+
5
−
10
=
90
5
x
−
5
=
90
Add
5
to both sides
5
x
=
95
Divide both sides by
5
we get
x
=
19
Now and after we find
x
we substitute it to get our two angles
2
x
+
5
=
2
(
19
)
+
5
=
43
∘
3
x
−
10
=
3
(
19
)
−
10
=
47
∘
Hope it helps :)
Step-by-step explanation:
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