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svet-max [94.6K]
3 years ago
13

Angle. How many sides does the polygon have?

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

The measures of the four angles of quadrilateral ABCD are 36°, 72°, 108° and 144°

<u>Explanation:</u>

A polygon has three or more sides.

Example:

Triangle has 3 sides

Square has 4 sides

Pentagon has 5 sides and so on.

27)

In a quadrilateral ABCD, the measure of ZA, ZB, ZC and ZD are the ratio 1 : 2 : 3 : 4

We know,

sum of all the interior angles of a quadrilateral is 360°

So,

x + 2x + 3x + 4x = 360°

10x = 360°

x = 36°

Thus, the measure of four angles would be:

x = 36°

2x = 2 X 36° = 72°

3x = 3 X 36° = 108°

4x = 4 X 36° = 144°

Therefore, the measures of the four angles of quadrilateral ABCD are 36°, 72°, 108° and 144°

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Answer:

I think slope-intercept

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3 years ago
Given: is an angle bisector of ∠JMK<br><br><br>Prove: m
astraxan [27]

Answer:

An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.

Given: MN is angle bisector,

then  

\angle JMN \cong \angle NMK            .......  [1]

Congruent angles are  two or more angles that have the same measure.

then;

by definition of congruent angles

[1]⇒ m\angle JMN = m\angle NMK                ......[2]

By the  Angle addition postulates states that if M is in the interior of ∠JMK then,

m\angle JMN+m\angle NMK =m\angle JMK            ......[3]

Now, by substitution property ; substitute the equation [2] in [3] we get;

m\angle JMN+m\angle JMN =m\angle JMK                 ......[4]

Like terms terms whose variables  are the same

Combine like terms in equation [4] we get

2 \cdot m\angle JMN=m\angle JMK                      ......[5]

Division property of equality states that you divide the same number to both sides of an equation.

Divide by 2 to both sides in equation [5] , we get

m\angle JMN= \frac{1}{2} m\angle JMK    


5 0
3 years ago
Sam has 79 model cars. He wants to give them to 4 of his friends. He wants each friend to have an equal number of cars. How many
Marat540 [252]

Answer:

So if he has 24 friends and each one got 4 then he would have 1 cars left for himself.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Brandon has 32 stamps. he wants to display the stamps in rows,with the same n
AleksandrR [38]
Okay, let's work this out...
What we know:
-32 stamps in all
- rows (horizontal)
- same # in each
What we "want to know" :
- # of combinations (different)
Problem Solving :
This is actually very easy its just the words than get ya!
1st : we need to figure out the factors of 32...
In other words, we need to figure out _x_=32 and how many different combinations and ways there are!
Note:(* means multiplication)
#1: What are the factors of 32?
32: 1*32 , 2*16 , 4*8
32: 32*1 , 16*2 , 8*4
The factors (not including 1 are 2,4,8,16)
Now, as you can see, there are 4 ways to get 32 as shown first.
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^
That ¦ is 1 way with 16 in 2 rows. Basic multiplication, 16*2=32 or 16+16=32.
But, this is also a way,
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Now there should be 2 in each row and 16 rows. Again 2*16=32 or 2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2=32
That's two ways so far.
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Another way which is 4 rows with 8 in each.
4*8=32 or 8+8+8+8=32
But, this is also a way,
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Now that is 8 rows with 4 in each. 8*4=32 or 4+4+4+4+4+4+4+4=32
That was our fourth way.
Again NOT including 1. If you include 1 then there will be 6 ways but aside from that there are 4 ways.
I hope that helped I worked hard typing this all for you. Any questions just ask!
3 0
3 years ago
Solve for x. + 5 = 30
sp2606 [1]

Answer:25

Step-by-step explanation:

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