Question

For which value of x is each figure a kite?

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Desrcibe the property of a kite

Kite has 2 diagonals that intersect each other at right angles (90 degrees)

STEP 2: Translate the property in Step 1

`\begin{gathered} \text{From the theorem above, } \\ (6x+6)^(\circ)=90^(\circ) \end{gathered}`

STEP 3: Solve for x

`\begin{gathered} (6x+6)^(\circ)=90^(\circ) \\ 6x+6=90 \\ \text{Subtract 6 from both sides} \\ 6x+6-6=90-6 \\ 6x=84 \\ \text{Divide both sides by 6} \\ (6x)/(6)=(84)/(6) \\ x=14 \end{gathered}`

Hence, the value of x is 14