The m/4 is 140° .
In a rectangular figure, opposite angles are equal, and adjacent angles are supplementary.
Given that m/1 is 40 ∘ , we can use this information to determine the measure of m/4.
The relationship between adjacent angles in a rectangle is expressed by the equation:
m/1+m/4=180 ∘
Since m/1 is 40 ∘ , we can substitute this value into the equation:
40 ∘ +m/4=180 ∘
Now, solving for
m/4: 180 ∘−40 ∘=140 ∘
m/4=180 ∘
=140 ∘
Hence, m/4 is 140 ∘ .
Rectangles are geometric shapes with four right angles. The sum of all angles in a rectangle is always
360 ∘, and each angle measures 90 ∘ .
In this case, knowing the measure of m/1 allows us to deduce the measure of m/4 by exploiting the supplementary nature of adjacent angles in a rectangle.
Angle relationships and properties in geometric figures is fundamental in geometry.
Rectangles, being a special case of quadrilaterals, exhibit specific characteristics that make them particularly interesting and useful in various mathematical and real-world contexts.
The ability to apply geometric principles, such as angle measures and relationships, is crucial in solving mathematical problems and analyzing shapes in geometry.