Question

in the adjoining figure ab||cd are cut by a transversal t at e and f respectively if angle 2 : angle 1 = 5:4, find the measure of each one of marked angles ​

Answer 1

Answer:

Angle 1 = 80°

Angle 2 = 100°

Step-by-step explanation:

Let Angle 1 and Angle 2 be = 4x and 5x

• <1 + <2 = 180° {linear pair}
• 4x + 5x = 180°
• 9x = 180°
• x = 180

9

Therefore, x = 20

so, Angle 1 = 4 × 20 = 80°

Angle 2 = 5 × 20 = 100°

{∠1=∠3=∠5=∠7=80°

; (Alternate Interior angles) and (Interior opposite angles)

∠2=∠4=∠6=∠8=100 °

(Alternate Interior angles) and (Interior opposite angles) }