M.4.25
Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems (e.g., by using an equation with a symbol for the unknown angle measure).
Example Problems
A sector has radius and area . What is the measure, in degrees, of the central angle of the sector?
A sector has radius and area . What is the measure, in degrees, of the central angle of the sector?
and are complementary angles. measures . What is the measure of ?
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