Question

Hello, can you help me with the attached question? Thank you for looking at my question.

Answer 1

From the diagram we get that the given triangle is an isosceles triangle, then, its interior angles are 30°, x°, and x°.

Now, recall that the interior angles of a triangle add up to 180 degrees, then we can set the following equation:

`30\degree+x\degree+x\degree=180\degree\text{.}`

Solving the above equation for x we get:

`\begin{gathered} 30+2x=180, \\ 30+2x-30=180-30, \\ 2x=150, \\ (2x)/(2)=(150)/(2), \\ x=75. \end{gathered}`

Answer: First option.