The measure of angle D is d.) 98°
To be able to answer the following problem, you need to understand some facts about an inscribed quadrilateral.
- An inscribed quadrilateral is a 4-sided polygon that has its 4 vertex angles at the circumference of a circle.
- Opposite angles of an inscribed quadrilateral are supplementary, which means they sum up to 180 degrees.
A diagram showing the inscribed quadrilateral ABCD is shown in the diagram attached below. The following assumptions can be made:
- ∠A and ∠C supplementary angles, ∴ m∠A + ∠C = 180
- ∠A and ∠C supplementary angles, ∴ ∠B = ∠D = 180
Create an equation to find the value of x:
Thus,
\(m
Find m∠D:
\(m
Plug in the value of x
\((6(13) + 4) + m
The measure of angle D is d.) 98°
Learn more about inscribed quadrilateral here:
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