Answer:
∠Q = 98°
∠P = 55°
Step-by-step explanation:
Angle R can be calculated by subtracting the known angle from 180:
180 - 153 = 27
Step 1 - As all angles in a triangle add to 180, we can say:
3y + 5 + 2y - 7 + 27 = 180
Step 2 - Simplify by adding like terms:
5y + 25 = 180
Step 3 - Subtract 25 from both sides:
5y + 25 - 25 = 180 - 25
5y = 155
y = 31
Step 4 - Put back into the equations for each angle:
∠Q = 3y + 5
Put in y:
3(31) + 5 =
93 + 5 = 98
∠P = 2y - 7
2(31) - 7 = 55
So to conclude:
∠Q = 98°
∠P = 55°
Hope this helps!
