Question

In this figure AB||CD and AH and CH are the bisectors of angle A and angle C respectively. Find the measure of angle x

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Answer 1

Step-by-step explanation:

AH is bisector of angle A.

so, angle HAG=67

angle DCG + 72=180. (linear pair)

angle DCG=108

CH is bisector of angle DCG

so, angle HCG=54

angle ACG=118

Now,

angle HAG + angle ACG + angle HCG + angle AHC=360. ( A. S. P. of quadrilateral)

67+118+54+x=360

239+x=360

x=360-239

x=121

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