Question

*Quadrilateral ABCD is cyclic, angleA = (5x - 13)°,angle C= (4x + 4)°. Find x.*

1️⃣ 17
2️⃣ 23
3️⃣ 19
4️⃣ 21​

Answer 1

Answer:

x= 21

Step-by-step explanation:

hope it will help you..

Answer 2

$\Huge\underline{\overline{\mid{\green{Answer}}\mid}}$

$\Huge\bold{Given}$

AngleA = (5x - 13)°

Angle C= (4x + 4)°

$\Huge\bold{To \: Find:}$

We have to Find x

$\Huge\bold{Solution}$

Quadrilateral ABCD is cyclic

Angle A = 5x-13

Angle C = 4x+4

Sum if opposite angles in cyclic quadrilateral is 180

5x -13 + 4x + 4 = 180

9x -9 = 180

9x = 180+9

9x = 189

x = 189/9

x = 21

Angles are

5x - 13 = 5(21) - 13

= 92

4x + 4 = 4(21) + 4

= 88

$\Huge \boxed{ \colorbox{lime}{hope \: this \: helps}}$