Question

Two supplementary angles have measurements of (3x)° and (10x – 15)°. What are the measures of the

Answer 1

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: