Find the angles in the image

a) 36°, b) 36°, c) 72°

Step-by-step explanation:

Given:PT║VW and SR is transversalm∠PQR = 36°To find:a) m∠SQTb) m∠QRWc) m∠PRVSolution

a) ∠SQT is vertical with ∠PQR and therefore has equal measure

m∠SQT = 36°

b) ∠QRW is corresponding angle with ∠SQT and therefore has equal measure

m∠QRW = 36°

c) m∠PRV = m∠PRQ as marked equal

m∠PRV +m∠PRQ + m∠QRW = 180° as straight anglem∠PRV*2 = 180° - 36°m∠PRV*2 =144°m∠PRV = 144°/2m∠PRV = 72°

No i refuse to tell you the answer but the estimate is 10