Question

What is the value of x

Answer 1

x=54∘

Explanation:

∙ the diagonals bisect the angles

∙ the diagonals bisect each other at right angles

∙ opposite sides are parallel

BD is a diagonal and bisects ∠ADC

⇒∠ADB=∠CDB=x

⇒∠ADB=∠CDB=x → alternate angles

the sum of the angles in the lower triangle = 180 ∘

⇒ 36∘ + 90∘ + x = 180∘

⇒ x=180 - 36 - 90 = 54∘

Answer 2

Use slope intercept form

Explanation: