# What is the measure of angle b? someone please re-check my answer.

May 16, 2018

You're right, $m \angle B$ = 157

#### Explanation:

Knowing that opposite angles of an inscribed quadrilateral are supplementary, we can say:

$6 x + 19 + x = 180$. Now we just solve for x.

$7 x + 19 = 180$
$7 x = 161$
$x = 23$

After finding x, plug that into the equation for angle B:

$6 \cdot 23 + 19 = 157$.