Question

Find the measure of angle x in the figure below:

Answer 1

51 degrees

Explanation:

Since 57, y, and 61 are supplementary, their angle measures must add up to 180 degrees. Therefore:

57+y+61=180

y+118=180

y=180-118=62

Since the sum of the interior angles of a triangle is always 180 degrees:

x+62+67=180

x+129=180

x=51

Hope this helps!