Please help im so confused

Mathematics

1 answer:

slava [35]2 years ago

3 0

Answer:

$\text{1. }50^{\circ}\\\text{2. }80^{\circ}$

Step-by-step explanation:

1. The measure of an inscribed angle is always half the measure of the arc it forms. Since angle ACB forms arc AB with a measure of 100 degrees, the measure of angle ACB will be equal to $\frac{100}{2}=\boxed{50^{\circ}}$ .

2. Relating to problem 1, both inscribed angles marked in the figure form the same arc. All inscribed angles forming the same arc will have the same measure. Therefore, the measure of angle GEF is equal to $\boxed{80^{\circ}}$ .

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