Question

What is the value of n?

Answer 1

Answer:

B. 85°

Step-by-step explanation:

Look at the picture.

We know: Angles on one side of a straight line always add to 180°.

Therefore:

$\alpha=180^o-142^o=38^o\\\\\beta=180^o-133^o=47^o$

We know: the sum of the measures of the angles of the triangle is equal to 180 °.

Therefore:

$\gamma+47^o+38^o=180^o$

$\gamma+85^o=180^o$      subtract 85° from both sides

$\gamma=95^o$

$n^o+95^o=180^o\to n^o=180^o-95^o=85^o$

Answer 2

Answer:

38

Step-by-step explanation:

n+142=180(angle on a straight line)

n=180-142

n=38