Based on isosceles triangle PQR, the value of x is 16°. The angle measure of P is 51°.
In Mathematics and Geometry, the sum of the interior angles in a triangle is equal to 180 degrees. This ultimately implies that, we would sum up all of the angles in any given triangle ABC as follows;
m∠A + m∠B + m∠C =180°
Based on isosceles triangle PQR, we have the following congruent angles;
m∠P ≅ m∠Q
m∠P + m∠Q + m∠R = 180°
3x + 3 + 3x + 3 + 5x - 2 = 180°
11x = 180 - 4
11x = 176
x = 16°
For the angle measure of P, we have;
m∠P = 3x + 3
m∠P = 3(16) + 3
m∠P = 51°