Q. 175.0( 2 Votes )

In Fig. 8.129, PQ++RS, AEF =95°, BHS =110° and ABC =x°. Then the value of x is,


A. 15°

B. 25°

C. 70°

D. 35°

Answer :

Given that,

PQ RS


AEF = 95o


BHS = 110o


ABC = xo


AEF = AGH = 95o (Corresponding angles)


AGH + HGB = 180o (Linear pair)


95o + HGB = 180o


HGB = 85o


BHS + BHG = 180o (Linear pair)


110o + BHG = 180o


BHG = 70o


In BHG,


BHG + HGB + GBH = 180o


70o + 95o + GBH = 180o


GBH = 25o


Thus,


ABC = GBH = 25o

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