Question

In the figure below, pentagon RSTYZ is a regular polygon and m/RST = 108⁰.If m/UTY = 115°, what is m/STU?A137°OB. 223°OC. 108°OD. 115°

Answer 1

`223`

Option B

Step-by-step explanation

Given;

`\begin{gathered} m\angle RST=108⁰. \\ m\angle UTY=115° \end{gathered}`

Note that the pentagon is a regular polygon (all the angles are equal).

Hence;

`m\angle RST=m\angle STY=108`

The measure of angle STU is;

`\angle STU=\angle STY+\angle UTY`

Hence, substitute the values of the angles;

Therefore, the measure of angle STU is 223 degrees