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 …

Question

asked Jul 2, 2023 164k views

1 Answer

SMR · Answer 1 · 2023-07-08T17:49:27+0000

Solution:

Given the triangle ABC;

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

$\angle A+\operatorname{\angle}B+\operatorname{\angle}C=180^o$

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;

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