Question

directions - find the indicated angle measure. create an angle addition equation in order to solve. find m∠kwp
diagram: a straight line kws with w as the vertex, a ray wp making an angle x° with kw and 100° with ws
m∠kwp = □ degrees.

Explanation:

Step1: Identify the straight line angle

A straight line forms a \( 180^\circ \) angle. So, \( \angle KWP + \angle PWS = 180^\circ \).

Step2: Substitute known angle

We know \( \angle PWS = 100^\circ \) and \( \angle KWP = x^\circ \). So, \( x + 100 = 180 \).

Step3: Solve for x

Subtract 100 from both sides: \( x = 180 - 100 \).
\( x = 80 \).

Answer:

80