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Minchanka [31]
2 years ago
12

If the exterior angle of a regular polygon is 15 degree, find the central angle ?

Mathematics
1 answer:
Ugo [173]2 years ago
6 0

Answer: 360/15=24 sides

Step-by-step explanation:

You might be interested in
In isosceles triangle △ABC,
Minchanka [31]

Answer:

Isosceles triangle:

* two sides are equal.

* the base angle are always equal and

* the altitude is a perpendicular distance from the vertex to the base.

Since, the triangle ABC is an isosceles and AC is the base

⇒ AB=BC and  \angle A = \angle C

Also, AD is the angle bisector of \angle A, which implies that it cuts the angle at A in two equal halves,

let \angle A= x^{\circ}, then the bisectors cuts it in (x/2)^{\circ}.

As per the given information, we know \angle ADB  is 110°, therefore, the line BDC forms a supplementary angle;

⇒\angle CDA = 180-110 =70^{\circ}

As shown in picture given below:

By sum of all interior angles in a triangle is 180 degree, thus

x+\frac{x}{2} +70^{\circ} =180^{\circ} or

\frac{3x}{2} = 180-70 = 110^{\circ}

Simplify:

x=\frac{220}{3} = 73\frac{1}{3}^{\circ}

Therefore, the \angle A =\angle C = 73\frac{1}{3}^{\circ}.

Now, to find the angle B, we have;

\angle A+ \angle B +\angle C = 180^{\circ}    [Sum of the measure of the angles in a triangle is 180 degree]

or

2\angle A+\angle B = 180^{\circ}  or

\angle B = 180^{\circ}- 2\cdot \frac{220}{3} =180^{\circ}-\frac{440}{3}

Simplify:

\angle B = \frac{100}{3}= 33 \frac{1}{3}^{\circ}.



4 0
3 years ago
Please help me answer this!! i will give brainliest and 5 star rating!!
nasty-shy [4]
This question relates to scale factor
As you can see triangle DEF has been enlarged from triangle ABC
Two sides are given, so you can find the scale factor.
20/6=10/3=3.3333333
Multiply 24 by 10/3 to get x
Which gives you 80
c=80cm
6 0
2 years ago
Which one has the same value as 1 hundred 7 tens
Valentin [98]
170? I think. I don't really understand your question
4 0
3 years ago
A scientist has 350 mg of a radioactive material. The material will cut in half every month. After how many months will there be
Zanzabum
The answer would be about 9 months.
6 0
3 years ago
135 is what percent of 150?
kolbaska11 [484]

Answer:

90%

Step-by-step explanation:

Is means equals and of means multiply

135 = P * 150

Divide each side by 150

135/150 = 150P/150

.9 =P

Change this to percent form by multiplying by 100%

.9*100%

90%

3 0
3 years ago
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