Question

85. What is the value of x?والے1040)DDrawing not to scaleA 38°B. 128°C. 76D. 52°

Answer 1

Given:

One of the angle of a triangle is 104°.

The objective is to find the missing angle x.

If two sides of a triangle are equal, then it is an isosceles triangle.

In an isosceles triangle, the angle formed by the equal sides is also equal.

Then, the value of angle x can be calculated angle sum property of triangle.

`\begin{gathered} x+x+104\degree=180\degree \\ 2x+104\degree=180\degree \\ 2x=180\degree-104\degree \\ 2x=76\degree \\ x=(76)/(2) \\ x=38\degree \end{gathered}`

Hence, option (A) is the correct answer.