Question

: quadrilateral MRPN is cyclic , angle R =(5x-13), anle N (4x+4) find measures of angle R and angle N
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Answer 1

Answer:

❤ Angle R = 92°

❤ Angle N = 88°

Step-by-step explanation:

Given that,

• $\square$MRPN is cylic quadrilateral.
• Angle R = (5x - 13)°
• Angle N = (4x + 4)°

As we know that,

The sum of either pair of opposite angles of a cylic quadrilateral is 180°.

$\implies$ Angle R + Angle N = 180°

$\implies$ (5x - 13)° + (4x + 4)° = 180°

$\implies$ 5x - 13 + 4x + 4 = 180°

$\implies$ 9x - 9 = 180°

$\implies$ 9x = 189

$\implies$ $\sf\red{ x = 21\degree}$

Hence,

• Angle R = (5x - 13)° = (5 × 21 - 13)° = (105 - 13)° = 92°.

• Angle N = (4x + 4) = (4 × 21 + 4)° = (84 + 4)° = 88°.

Answer 2

Hello dear!!!

Here is your answer~

Quadrilateral MRPN is cyclic

Angle R=5×-13

Angle N=4×+4

Sum if opposite Angles in cyclic quadrilateral is 180.

5×-13+4×+4=180

9×-9=180

9×=180+9

9×=189

×=189/9

×=21

Angles are~

5×-13=5(21)-13

=92

4×+4=4(21)=4

=88

Hope this helps you