Question

XY parallel to BC find angle P and angle Q

Answer 1

P=77, Q=60

Explanation:

Angle BCA is 180-137=43. BCA and YAC are opposite interior angles, which are congruent, so YAC is also 43.

To find P, you just take 60+P+43=180 (straight line). So, P should be 77.

You can figure out Q by using the total degrees in a triangle, 180. You have the other two angles now (43 and 77), so Q is 180-43-77=60. Incidentally, this is also the opposite interior angle of XAB, which is equivalent to Q at 60.