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What is the value of x please I need the answer ASAP !

What is the value of x please I need the answer ASAP !-example-1
User Aashish Bhatnagar
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1 Answer

26 votes
26 votes

Step 1

Since there are 3 equal sides in the diagram, the image redrawn will be

This is because both triangles are isosceles triangles and as such two sides are equal and the corresponding angles are also equal.

Step 2

The sum of angles in the quadrilateral will be 360°

Hence,


\begin{gathered} x+x+73+73+90=360 \\ \end{gathered}
2x+146+90=360
\begin{gathered} 2x=360-146-90 \\ 2x=\text{ 124} \\ (2x)/(2)=(124)/(2) \\ x=62^(\circ) \end{gathered}

Hence, x = 62°

What is the value of x please I need the answer ASAP !-example-1
User Andrew Walters
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2.6k points