Question

Find angle ADB of the equation

Answer 1

Answer:

$m\angle ADB = 59\°$.

Step-by-step explanation:

Given:

$\angle BDC = 31\°$

We need to find $\angle ADB$.

Solution:

Now we can see that given figure is a rectangle with diagonals drawn in it.

So by properties of rectangle which states that;

"All angles of a rectangle are 90°."

So we can say that;

$\angle A = \angle B = \angle C = \angle D = 90\°$

But

$\angle D = \angle BDC + \angle ADB$

Substituting the values we get;

$31\°+\angle ADB = 90\°$

Subtracting both side by  by 31 we get;

$31\°+\angle ADB -31\°= 90\°-31\°\\\\m\angle ADB = 59\°$

Hence $m\angle ADB = 59\°$.