Q:

HELP!!! I WILL GIVE BRAINLIEST!!! 10 PTS!!!Find the variablesx degrees = _____w = _____

Accepted Solution

A:
Answer:x= 55 degreesw = 5Step-by-step explanation:Triangle PQR contains two triangles, QPS and PSR.Looking at triangle QPS, it is an isosceles triangle. This is shown by the two short lines that cuts line QP and line QS. In an isosceles triangle, two sides and two angles are equal. The two equal angles are the base angles.Therefore, angle P and angle S are equal. AlsoLine QP and line PS are equal. This means 6w - 10 = w6w-w = 105w = 10w = 10/2 = 5Angle Q + 100 degrees = 180 ( sum of angles on a straight line)Angle Q = 180 - 100 = 80 degreesAngle Q = Angle S(base angles of an isosceles triangle)Angle PSR = 180 - 80 = 100 degrees( sum of angles on a straight line is 180)Angle PSR + x + 25 = 180x = 180 - 25 - 100 = 55 degrees