Question

of the four angles made by two lines crossing each other ,one angle is half of another angles . calculate all four angles​

Answer 1

Answer:

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Answer 2

two angles are of $60^{o}$ and other two angles are of value $120^{o}$.

Step-by-step explanation:

Given:

              Two lines crossing each other.

                One angle is half of other angle.

     

     There are total four angles and due to vertically opposite angles. Opposite angles are equal to each other. So, practically there are only two angles left.

Let these two angles be 'x' and 'y'. Where according to question,

                                ⇒ y = 2x

 We know that total angle of circle is $360^{o}$.

So, for linear pair,

                                      ⇒ y + x = $180^{o}$        

                                       ⇒  2x + x = $180^{o}$

                                       ⇒ x =  $60^{o}$

                                       ⇒ y = $120^{o}$