Question

What is the value of p?A. 90°B. 43°C. 47°D. 133°

Answer 1

B. 43°

Step-by-step explanation:

The angle that forms a linear pair with 133 degrees inside the triangle is

=180°-133°

Similarly, the angle that forms a linear pair with 90degrees inside the triangle is

=180°-90°

`p+(180\degree-133\degree)+(180\degree-90\degree)=180\degree\text{ (sum of angles in a triangle)}`

We then go ahead to solve for p.

`\begin{gathered} p+47^0+90^0=180^0 \\ p+137^0=180^0 \\ p=180^0-137^0 \\ p=43^0 \end{gathered}`

The correct choice is B.