Question

HELPPP I DONT UNDERSTAND

Answer 1

Answer:

$\boxed{\bf \angle B = 58^{o}}$

Step-by-step explanation:

The cyclic quadrilateral sum of the opposite angle is 180°. From the given figure....

$\bf \angle B + \angle D= {180}^{o}$

Where....

~$\bf \angle B = 3x+7$

~$\bf \angle D = 6x+20$

• $\bf 3x+7+6x+20 ={180}^{o}$
• $\bf 9x+27=180^{o}$
• $\bf 9x=180-27$
• $\bf 9x=153$
• $\bf x = \cfrac{153}{9}$
• $\boxed{\bf x=17^{o}}$

Now, that we found x, let's find angle B....

• $\bf \angle \: B = 3x + 3$
• $\bf 3(17) + 7$
• $\bf 58^{o}$

$\sf Therefore, \: \boxed{\sf \angle B = 58^{o}}$