1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leni [432]
2 years ago
13

An angle measures 130.8° more than the measure of its supplementary angle. What is the measure of each angle

Mathematics
2 answers:
Sergio [31]2 years ago
7 0

                 - - - - -- - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - -- - - - - -

\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}

An angle measures 130.8º more than its supplementary angle. What is the measure of each angle?

\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}

Supplementary angles add up to 180º.

In order to find the unknown angles, we should first let the angle be x.

Set up an equation:-

(remember, there are 2 angles, x and x+130.8):-

x+x+130.8=180

Add the x's:-

2x+130.8=180

Subtract 130.8 from both sides:-

2x=49.2

Divide by 2 on both sides:-

x=24.6º

To find the other angle, add 130.8º:-

24.6+130.8=155.4º

Second angle=155.4º

Now, we need to make sure our solution is correct.

We can easily check it by adding both angles together and seeing whether or not we end up with 180:-

155.4+24.6=180

180=180

Since the left-hand side equals the right-hand side, our solution is indeed correct.

The angles are 24.6º and 155.4º

<h3>Good luck.</h3>

              - - - - - -- - - - - - - - - -- - - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - - - -

AURORKA [14]2 years ago
6 0

Answer:

The angles are 24.6° and 155.4°

Step-by-step explanation:

<h2>Supplementary angles: </h2>

Supplementary angles add up to 180°

Let the measure of the supplementary angle = x

So, the angle is 130.8 more than 'x'

     The angle = x + 130.8

The angles are supplementary.

x + (x + 130.8) = 180

x + x + 130.8 = 180

  2x + 130.8  = 180

                2x = 180 - 130.8

                 2x = 49.2

                   x = 49.2/2

                   x = 24.6

x + 130.8 = 24.6 + 130.8

                =  155.4

The angles are 24.6° and 155.4°

 

You might be interested in
Help is very much needed!!
aivan3 [116]

Answer:

DE = 24

Step-by-step explanation:

The midsegment DE is half the length of the third side AC , that is

DE = \frac{1}{2} AC = \frac{1}{2} × 48 = 24

6 0
3 years ago
Solve the equation.<br> 8x= 72
BigorU [14]

Answer:

X=9

You divide 8 in each side and you will get x=9

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=41°, and SQ = 94 feet. Find the length of QR to the nearest tenth of a foot.
timama [110]

Answer:

124.6

Step-by-step explanation:

maths

6 0
2 years ago
Help please. I need the answer.
Deffense [45]
Create and solve an appropriate equation:  Maria's earnings = Liam's earnings

                                                                       0.20x                 = $625+0.10x.

Find x.

0.10x = $625; thus, x = $6250.  At this level of food sales, these two people earn the same amount.
3 0
3 years ago
Harley and Natalie are each given 2 1/3 kg of clay Harley makes as many balls of clay as he can from his clay. Each ball weighs
STALIN [3.7K]

Answer:

Her clay balls weight 0 pound because she doesn't have balls

3 0
2 years ago
Read 2 more answers
Other questions:
  • Convert the equation into slope-intercept form 2x+3y=9
    8·1 answer
  • Need help with all parts please show you work for each part
    11·1 answer
  • Determine the range of this set of data.<br> 89,73,84,91,87,77,94
    5·2 answers
  • 12.92 multiplied by 2.5 long multiplication
    6·1 answer
  • Please help with clear explanation
    12·1 answer
  • Solve the following equation 38 &lt; 4x + 3 + 7 - 3x
    5·2 answers
  • Solve the system
    15·1 answer
  • If ABCD is dilated by a factor of 3, the
    14·1 answer
  • Nvm don't answer this
    15·1 answer
  • Please show work and correct answers ONLY!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!