Question

6.7 An
In Fig. 6.29, if AB ICD, CDHEF and y:z = 3:7.
find.
tu
In the
of a ty
related
Sine
heor
Proof
above
Fig. 6.29​

Answer 1

• AB||CD (given)
• EF||CD (given)
• AB||EF (lines parallel to same line are parallel to each other)

➝ x = z (alternate interior angles)

➝ x + y = 180° (AB||CD co interior angles)

Since x = z,

➝ z + y = 180°

y:z = 3:7 (given)

• Let y be 3a
• z be 7a

↪3a + 7a = 180°

↪10a = 180°

↪a = 180/10

↪a = 18

z = 7a = 7×18 = 126°

y = 3a = 3×18 = 54°

x = z = 126°

• x = 126°
• y = 54°
• z = 126°