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Numerical on Parallel Lines
In the given figure, find the angles marked by the letters a, b, c, d, e and f. State briefly the reason in each case.
First let us calculate angle a click on the angles that make a straight angle i.e. 180 degrees along with the angle a.
Yes, you are right
a plus 30 degree plus 105 degree is equal to 180 degree. It implies a is equal to 180 minus 135 degrees.
Calculate and typed the value of angle a. Check your answer
Therefore a is equal to 45 degree.
let us now calculate angle b. Click on the option b which describes the relation between angles a and b.
That right a and b are the alternate angle.
Click on the properties of the alternate angles.
That's right alternate angles are equal. Hence angle b is equal to angle a.
Therefore angle b is equal to 45 degree.
let us now calculate angle c. Click on the angles that makes a pair of allied angles with angle c.
That's right allied angles are supplementary. Hence c plus 75 degree is equal to 180 degree.
c is equal to 180 degree minus 75 degree. Calculate and type the value of angle c. Check your answer.
Therefore c = 105 degree.
let us now calculate angle d. Click on the correct angle which form an allied angle with d plus 105 degrees in the second figure. We call the allied angle are supplementary.
Therefore d plus 105 degree plus 45 degree is equal to 180 degree. d is equal to 180 degree minus 150 degree. Find the value of angle d. check your answer.
Therefore d = 30 degree.
Finally let us calculate angle e and f. Which is the angle vertically opposite to angle e?.
That's right. Vertically opposite angles are equal.
Therefore, e is equal to 45 degree.
Which is the vertically opposite angle to angle f?.
That's right. Therefore F is equal to 105 degrees. hence, we have calculated all the angles a, b, c, d, e and f.
Numerical on Parallel Lines
In the given figure, find the angles marked by the letters a, b, c, d, e and f. State briefly the reason in each case.
First let us calculate angle a click on the angles that make a straight angle i.e. 180 degrees along with the angle a.
Yes, you are right
a plus 30 degree plus 105 degree is equal to 180 degree. It implies a is equal to 180 minus 135 degrees.
Calculate and typed the value of angle a. Check your answer
Therefore a is equal to 45 degree.
let us now calculate angle b. Click on the option b which describes the relation between angles a and b.
That right a and b are the alternate angle.
Click on the properties of the alternate angles.
That's right alternate angles are equal. Hence angle b is equal to angle a.
Therefore angle b is equal to 45 degree.
let us now calculate angle c. Click on the angles that makes a pair of allied angles with angle c.
That's right allied angles are supplementary. Hence c plus 75 degree is equal to 180 degree.
c is equal to 180 degree minus 75 degree. Calculate and type the value of angle c. Check your answer.
Therefore c = 105 degree.
let us now calculate angle d. Click on the correct angle which form an allied angle with d plus 105 degrees in the second figure. We call the allied angle are supplementary.
Therefore d plus 105 degree plus 45 degree is equal to 180 degree. d is equal to 180 degree minus 150 degree. Find the value of angle d. check your answer.
Therefore d = 30 degree.
Finally let us calculate angle e and f. Which is the angle vertically opposite to angle e?.
That's right. Vertically opposite angles are equal.
Therefore, e is equal to 45 degree.
Which is the vertically opposite angle to angle f?.
That's right. Therefore F is equal to 105 degrees. hence, we have calculated all the angles a, b, c, d, e and f.
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