Answer:
Yes , it is possible (see the explanation)
Step-by-step explanation:
we know that
In a right triangle, we have two complementary angles (their sum equal to 90 degrees)
so
If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa
<em>Example</em>
Suppose we have the right triangle ABC
The measure of angle C is 90 degrees
A and B are complementary angles
A+B=90°
therefore
sin(A)=cos(B)
sin(B)=cos(A)
Given:
A quadrilateral inscribed in a circle.
To find:
The values of a and b.
Solution:
A quadrilateral inscribed in a circle. So, the quadrilateral is a cyclic quadrilateral.
We know that the sum of the opposite angles of a cyclic quadrilateral is 180 degrees.



We know that the measure of arc is twice of measure of subtended angle on that arc.




Therefore, the value of a is 101 degrees and the value of b is 82 degrees.