Question

How can i solve this ? what the steps too solving this !

Answer 1

Given:

`\begin{gathered} \angle DEH=13x \\ \angle FEH=10x+21 \end{gathered}`

To find the value of x:

Since, the angles DEH and FEH are the complementary angles.

So,

`\begin{gathered} \angle DEH+\angle FEH=90^(\circ) \\ 13x+10x+21=90^(\circ) \\ 23x+21=90^(\circ) \\ 23x=90^(\circ)-21^(\circ) \\ 23x=69 \\ x=(69)/(23) \\ x=3 \end{gathered}`

Hence, the value of x is 3.

Thus, the angles

`\begin{gathered} \angle DEH=13x \\ =13(3) \\ =39^(\circ) \end{gathered}`

And

`\begin{gathered} \angle FEH=10x+21 \\ =10(3)+21 \\ =30+21 \\ =51^(\circ) \end{gathered}`

Hence,