Question

I need help with this please and I have to show how I got the calculation for the angle

Answer 1

Given:

There is a diagram given in the question

Required:

We need to find the angle a and b

Explanation:

Here 35 degree and c are the supplementary angles means sum of both angles is 180 degree

so for c

$\begin{gathered} 180\degree=35\degree+c \\ c=180\degree-35\degree \\ c=145\degree \end{gathered}$

now here the value of b is same as the left side of c means 35 degrees

now here we have the three angles of square so we can find the 4th angle of square

$\begin{gathered} 145\degree+35\degree+110\degree+e=360\degree \\ e=360\degree-290\degree \\ e=70\degree \end{gathered}$

now here a and b are supplementary angles so the value of a is

$\begin{gathered} a+b=180\degree \\ a+35\degree=180\degree \\ a=180\degree-35\degree \\ a=145\degree \end{gathered}$

Final answer:

The value of a and b are 145 egree and 35 degree respectively.