Question

Find the measure of the missing angle ( dont worry about the degree )

Answer 1

Answer:

Concept:

The angle at F will be calculated using the formula below

$\begin{gathered} \angle F=\frac{1}{2}(arcHE-arcGE) \\ arcHE=209^0 \\ arcGE=81^0 \end{gathered}$

By substituting the values, we will have

$\begin{gathered} \operatorname{\angle}F=\frac{1}{2}(arcHE-arcGE) \\ \operatorname{\angle}F=\frac{1}{2}(209-81) \\ \operatorname{\angle}F=\frac{1}{2}(128) \\ \operatorname{\angle}F=\frac{128}{2} \\ \operatorname{\angle}F=64^0 \end{gathered}$

Hence,

The value of ∠F = 64°