Question

Find the value of x in the triangle shown below.x =56°xo४O31°

Answer 1

Given: A triangle with interior angles of 31 degrees, 56 degrees and x degrees.

Required: To determine the measure of angle x.

Explanation: The angle sum property of a triangle states that the sum of all interior angles of a triangle is equal to 180 degrees Thus,

`31\degree+56\degree+x\degree=180\degree`

Further solving for x as follows-

`\begin{gathered} 87\degree+x\degree=180\degree \\ x=180\degree-87\degree \\ x=93\degree \end{gathered}`

Final Answer: The value of x is-

`x=93\degree`