Question

Observe the given figure and complete the following activity to find the
measure of an angle inscribed in a semicircle.
Seg AC is the diameter.
B
ZABC is inscribed in a semicircle ABC.
mn (ard AMC)=_____
​

Answer 1

Given :   procedure to find the measure of an angle inscribed in a semicircle.

To Find : Complete the activity

Solution:

Seg AC is the diameter.

m arc AMC  = 180°       ∵  AC is diameter  

∠ABC  = (1/2) m arc AMC    inscribed angle theorem

∠ABC  = (1/2) * 180 °

=>∠ABC  =90 °

QED

Hence proved

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