Question

3. MRPN is cyclic, R = (5x - 13), ZN-(4x + 4)º Find measures of ZR and ZN M ​

Answer 1

Answer:

Given, ∠R=(5x−13)° , ∠N=(4x+4)°.

We know, the sum of opposite angles of a cyclic quadrilateral being 180∘.

Then,

∠R+∠N=180°

⟹ (5x−13)°+(4x+4)°=180°

⟹ 5x+4x−13°+4°=180°

⟹ 9x−9°=180°

⟹ 9x=9°+180°

⟹ 9x=189°

⟹ x=21°.

Therefore,

∠R = (5x−13)° = 5(21°)−13° = 105°−13° = 92°

and ∠N = (4x+4)° = 4(21°)+4° = 84°+4° = 88°

Hence ∠R = 92° & ∠N = 88°

Hope it helped you..

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