Q. 1545.0( 1 Vote )

# In trapezium HARE. EP and RP are bisectors of E and R respectively. find ∠HAR and ∠EHA.

Answer :

Adjacent angles along a side of a trapezium are supplementary.

Hence, ∠R + ∠A = 180 ________(i)

Similarly, ∠E + ∠H = 180 ________(ii)

According to given data in question,

The complete ∠R = 2×30 = 60

And ∠E = 2×25 = 50

Because, EP and RP are bisectors of E and R respectively.

By Eq (i) and (ii),

∠A = 180-60 = 120

∠H = 180-50 = 130

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