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

**Solution:**

Given, HARE is a __trapezium__.

EP and RP are bisectors of ∠E and ∠R.

We have to find ∠HAR and ∠EHA.

We know that __adjacent angles__ of a trapezium are __supplementary__.

So, ∠E + ∠H = 180°

Since EP is the __angle bisector__ of ∠E,

∠PER + ∠PEH + ∠EHA = 180°

25° + 25° + ∠EHA = 180°

50° + ∠EHA = 180°

∠EHA = 180° - 50°

∠EHA = 130°

Similarly, ∠R + ∠A = 180°

Since RP is the angle bisector of ∠R,

∠ERP + ∠PRA + ∠HAR = 180°

30° + 30° + ∠HAR = 180°

60° + ∠HAR = 180°

∠HAR = 180° - 60°

∠HAR = 120°

Therefore, the required angles are 130° and 120°.

**✦ Try This: **Find the values of x, y, z and w in the given figure.

**☛ Also Check: **NCERT Solutions for Class 8 Maths

**NCERT Exemplar Class 8 Maths Chapter 5 Problem 154**

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

**Summary:**

In trapezium HARE, EP and RP are bisectors of ∠E and ∠R respectively. The values of ∠HAR and ∠EHA are 120° and 130°.

**☛ Related Questions:**

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