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last napo ito sana masagot po ng maayos pliss po 8 poits po ito...

$\large \mathcal{ANSWER:}$

$\boxed{\textsf{m}\angle FRI = 70\degree}$

$\large \mathcal{SOLUTION:}$

$\begin{array}{l} \textsf{The measure of }\angle FRI\textsf{ is half the sum of the} \\ \textsf{measures of the subtended arcs }\overset{\Large \frown}{FI}\textsf{ and }\overset{\Large \frown}{DE}. \\ \\ \quad \textsf{m}\angle FRI = \dfrac{\textsf{m}\overset{\Large \frown}{FI} + \textsf{m}\overset{\Large \frown}{DE}}{2} \\ \\ \textsf{Given that }\textsf{m}\overset{\Large \frown}{FI}=80\degree\textsf{ and }\textsf{m}\overset{\Large \frown}{DE} = 60\degree, \\ \\ \implies \textsf{m}\angle FRI = \dfrac{80\degree + 60\degree}{2} = \dfrac{140\degree}{2} = \boxed{70\degree} \end{array}$

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Verified answer

Answer: 70 degrees

Step-by-step explanation:

$\frac{1}{2} (x+y)=internal angle\\\frac{1}{2} (80+60)\\\frac{1}{2} (140)\\=70$

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