Answer:
∠ Q = 75°
Step-by-step explanation:
Since PR and PQ are equal then the triangle is isosceles, thus
the base angles R andQ are congruent
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 2x + 15 + 2x + 15 = 180, that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Thus
∠ Q = 2x + 15 = 2(30) + 15 = 60 + 15 = 75°
