112k views
0 votes
How can i solve this ? what the steps too solving this !

How can i solve this ? what the steps too solving this !-example-1

1 Answer

4 votes

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,


undefined

User Saleena
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories