Question

Pls help! find the measure of the arc or angle indicateda) 106°b) 114°c) 111°d) 145°

Answer 1

The relationship between arc BT and angle BST is:

`\begin{gathered} \angle BST=\frac{\hat{BT}}{2} \\ 2\cdot33=\hat{BT} \\ 66\text{ \degree}=\hat{BT} \end{gathered}`

segment RT is the diameter of the circle, then arc RT measures 180°

`\begin{gathered} \hat{RB}+\hat{BT}=\hat{RT} \\ \hat{RB}+66=180 \\ \hat{RB}=180-66 \\ \hat{RB}=114\text{ \degree} \end{gathered}`