Question

IN figure 10.45 AB is parallel to CD find x.​

Answer 1

Answer:

x = 70

Step-by-step explanation:

Construction:

Draw SU through T such that AB is. parallel to SU.

Proof:

As AB is parallel to SU with transversal AT,

angle BAT + angle UTA = 180° (Co - interior angles)

140 + angle UTA= 180

angle UTA = 180 - 140

angle UTA = 40

As AB is parallel to SU as well as CD, then SU is also parallel to CD,

[Example:

AB = SU

AB = CD

them SU = CD]

As SU is parallel to CD with transversal CT,

angle DCT + angle UTC = 180 (Co interior angels)

150 + angle UTC = 180

angle UTC = 180 - 150

angle UTC = 30

x = angle UTA + angle UTC

x = 40 + 30

x = 70

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