Abcd is a quadrilateral

a) calculate the value of x.

b) when abcd is drawn to scale, would the lines ad and bc be parallel or not?

you must justify your answer without using a scale drawing

The Value of x is 45.

∴ When ABCD is drawn to scale then

AD || BC .........{Interior angle are Supplementary between Parallel Lines}

Step-by-step explanation:

Given:

[]ABCD is a Quadrilateral

To Find:

x = ?

Is AD || BC ?

Solution:

In a Quadrilateral Sum of the measure of all the angle is 360°

Substituting the values we get

Therefore,

Also, ∠ B = 90° ..Given

∠ A and ∠ B are Interior Angles

And Their SUM is 180°

∠ A + ∠ B = 90 + 90 = 180°

∴ AD || BC .........{Interior angle are Supplementary between Parallel Lines}

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)