Answer:
100
Step-by-step explanation:
It tells us that segment PQ and RQ have equal measurement. This implies angle QRP and angle QPR also have equal measurement. ( The given triangle is an isosceles triangle.)
So that means we know both of those angles at the base of the triangle are 40 degrees.
We know each of the base angles are 40 because the one adjacent to the angle whose measurement is 140 is supplementary to one of the base angles.
So we know the sum of the interior angles of a triangle are 180 degrees.
So we have that we need to solve:
40+40+a=180
80+a=180
Subtract 80 on both sides:
a=180-80
a=100
