Question

Find the angles in the image

Answer 1

Answer:

• a) 36°, b) 36°, c) 72°

Step-by-step explanation:

Given:

• PT║VW and SR is transversal
• m∠PQR = 36°

To find:

• a) m∠SQT
• b) m∠QRW
• c) m∠PRV

Solution

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 angle
• m∠PRV*2 = 180° - 36°
• m∠PRV*2 =144°
• m∠PRV = 144°/2
• m∠PRV = 72°