Question

show that Ime /line
Fig. 2.24
Line AB || line CD || line EF and line OP
is their transversal. If y: 3:7 then find
the measure of 2x. (See figure 2.25.)​

Answer 1

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°

= 3a = 3*18 = 54°

= 7a = 7*18 = 126°

angle z= 126°

angle y= 54°

angle y + angle x = 180°.......(Interior angles)

54° + angle x =180°

angle x = 180° - 54°

angle x = 126°

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