Question

Triangle ABC has angle measures as shown below. Using the information in the diagram, find the value of x. Be sure to write your answer down on a piece of paper - you will need it for Question 4.Find x and measure of Angle C

Answer 1

Given the triangle ABC;

The sum of interior angles of a triangle is 180 degrees. Thus;

We have;

`\begin{gathered} 35^o+52^o+3(x+2)^o=180^o \\ \\ 87^o+3x^+6^o=180^o \\ \\ 3x=180^o-93^o \\ \\ 3x=87^o \\ \\ x=(87)/(3) \\ \\ x=29 \end{gathered}`

Thus, the measure of angle C is;

`\begin{gathered} m\angle C=3(x+2)^o \\ \\ m\angle C=3(29+2)^o \\ \\ m\angle C=3(31)^o \\ \\ m\angle C=93^o \end{gathered}`