TOP QUESTIONS AND ANSWERS FOR YOU

Science

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12th,UnderGraduates,Graduates

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June 10, 2022

Eukaryotes mare more related to bacteria or archae?

Shiwani Sharma

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Teacher

Science

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12th,11th,10th,UnderGraduates,Graduates,8th,9th

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June 10, 2022

full form of ATP

Shiwani Sharma

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Teacher

Adenosine Triphosphate

Maths

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4th

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May 18, 2022

how to become tutor

sarjitsinh yadav

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Teacher

English

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3rd,5th

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May 10, 2022

Test

signup MN

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Student

Maths

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9th

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February 28, 2022

**6. In a square ABCD, diagonals meet at O. P is a point on BC such that OB = BP.**

**Show that:**

**(i) ∠POC = 22 ½o**

**(ii) ∠BDC = 2 ∠POC**

**(iii) ∠BOP = 3 ∠CPO**

Joslin Smith

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Student

Maths

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9th

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February 28, 2022

**5. The difference between an exterior angle of (n – 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is 6o find the value of n.**

Joslin Smith

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Student

Maths

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8th

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February 28, 2022

**4. The ratio between an exterior angle and an interior angle of a regular polygon is 2 : 3. Find the number of sides in the polygon.**

Joslin Smith

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Student

Maths

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9th

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February 28, 2022

**3. AB, BC and CD are the three consecutive sides of a regular polygon. If ∠BAC = 15o; find,**

**(i) Each interior angle of the polygon.**

**(ii) Each exterior angle of the polygon.**

**(iii) Number of sides of the polygon.**

Joslin Smith

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Student

**Solution:**

(i) Let each angle of measure x degree.

Therefore, measure of each angle will be:

x – 180o – 2 × 15o = 150o

(ii) Let each angle of measure x degree.

Therefore, measure of each exterior angle will be:

x = 180o – 150o

= 30o

(iii) Let the number of each sides is n.

Now we can write

n . 150o = (2n – 4) × 90o

180o n – 150o n = 360o

300 n = 360o

n = 12

Thus, the number of sides are 12.

Maths

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9th

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February 28, 2022

**2. In a pentagon ABCDE, AB is parallel to DC and ****∠A : ∠E : ∠D = 3 : 4 : 5. Find angle E.**

Joslin Smith

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Student

So, $?B+?C=180_{o}$ (Sum of interior angles on the same side of transversal are supplementary.)

Let $?A=3x,?E=4x,?D=5x$

Sum of all interior angles of pentagon = $180_{o}(n-2)=180_{o}(5-2)=540_{o}$

Now,

$?B+?C+?A+?E+?D=540_{o}$

$=>180_{o}+3x+4x+5x=540_{o}$

$=>12x=360_{o}$

$=>x=30_{o}$

$?E=4x=4×30_{o}=120_{o}$

Maths

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9th

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February 28, 2022

**1. Two angles of an eight-sided polygon are 142o and 176o. If the remaining angles are equal to each other; find the magnitude of each of the equal angles.**

Joslin Smith

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Student

**Solution:**

Let the measure of each equal sides of the polygon is x.

Then we can write:

142o + 176o + 6x = (2 × 8 – 4) 90o

6x = 1080o – 318o

6x = 762o

x = 127o

Thus, the measure of each equal angles is 127o