Question

Line AB || line CD || line EF and line QP is their transversal. If y:z = 3:7 then find the measure of ∠x. (See figure 2.25.)

Answer 1

here is the solution .. hope it helped.

Answer 2

Answer:

Line AB || line CD || line EF and line QP is their transversal. If y:z = 3:7 then∠x  = 126°

Step-by-step explanation:

∠y + ∠z = 180°

y : z = 3: 7

let say y = 3a

then z = 7a

3a + 7a = 180°

=> 10a = 180°

=> a = 18°

y = 3a = 3*18 = 54°

z = 7a = 7*18 = 126°

∠x + ∠y = 180°

∠x  + 54° = 180°

=> ∠x  = 126°