X is 50
The triangle in the picture is an isosceles triangle, that means two of the sides are equal. An isosceles triangle has two equal sides, therefore it also has two equal angles. That means that side QR is equal to QP, which also means that point P and point R have equal angles. We know that the angles in a triangle must always add up to 180°. We already know the information for angle R and angle P so we can add those together, this gets us 70°. We can now build an equation with the information we have: 2x + 10 + 70 = 180. Solve the equation and you’ll have your final product, x = 50.
