In Fig 4, if AB||CF, CD||EF, then find the value of x - Maths - Lines and Angles

Question

In Fig 4, if AB||CF, CD||EF, then find the value of x

Shruti Tyagi · Accepted Answer

Dear student,

In △ABC,∠A+∠B+∠ACB=180°⇒∠A+40°+65°=180°⇒∠A=180°-105°⇒∠A=75°Since AB∥CF⇒∠A=∠DCF=75°        --(corresponding angles)NOw, x+75°=180° --(sum of cointerior angles)⇒x=180° -75°⇒x=105°

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In Fig. 4, if AB||CF, CD||EF, then find the value of x.