In △PQR, the following information is given:
• ∠P=(3y+10)∘; this angle is acute.
• ∠Q is the angle that completes ∠P to a right angle.
• ∠R is twice the angle that completes ∠P to a right angle.
Answer the questions below, showing every step.
(i) Establish an equation involving y by using the above information together with the angle–sum property of a triangle.
(ii) Solve the equation obtained in part (i) to find the value of y.
(iii) Determine the measures of all three angles of △PQR.
(iv) State the type of triangle △PQR on the basis of its angles, giving reasons for your answer.