The angles of a triangle are 2x°, (3x−8)° and (5x−12)°. The greatest angle of the triangle is:
88°
The three angles are 2x, (3x-8), and (5x-12), and they sum to 180: 2x+3x-8+5x-12=180, giving 10x=200, x=20. The largest angle is 5x-12 = 100-12 = 88 degrees.
In the following figure is AC || QR, then Y = ?

What is the foot of the altitude from the vertex A of the triangle ABC?
In ΔABC, D is a point on BC such that ∠ADB = 2∠DAC, ∠BAC = 70° and ∠B = 56°. What is the measure of ∠ADC?
In ΔABC, ∠A = 66° and ∠B = 50 °. If the bisectors of ∠B and ∠C meet at P, then ∠BPC – ∠PCA = ?
In a triangle ABC, points P and Q are on AB and AC, respectively, such that AP = 4 cm, PB = 6 cm, AQ = 5 cm and QC = 7.5 cm. If PQ = 6 cm, then find BC (in cm).
The perimeters of two similar ΔABC and Δ PQR are 48.4 cm and 12.1 cm, respectively. What is the ratio of the areas of Δ ABC and Δ PQR?