Question

ABCD is a square. if m angle ABD = 3(× + 8), what is x?​

Answer 1

Answer:

x = 7

Step-by-step explanation:

Since ABCD is a square, hence all of its interior angle will be 90° each. [Property of Square]

Hence, ∠ABC = 90°

Also diagonals of a square are angle bisectors, since ∠ABD is an angle formed by bisecting ∠ABC with diagonal BD.

Hence, ∠ABD = $\frac{1}{2}$ ∠ABC

⇒ ∠ABD = $\frac{90}{2}$ = 45°

Now, as per question:

∠ABD = 3(x+8)

⇒ $3(x+8) = 45$

⇒ $x+8=\frac{45}{3}$

⇒ $x + 8 = 15$

⇒ $x = 15-8 = 7$

Hence, x = 7

You probably don't need to write an entire explanation like me, that was just for you to understand the concept more deeply..

Hope it helps