Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.




Now, SRT is a straight line.
(Linear pair)


...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get



Therefore, the value of x is 103 degrees.
Answer:
c
Step-by-step explanation:
I’m pretty sure they’re collinear. I’m so sorry if I’m wrong.
What is it maybe i can help?
Answer:
720°
Step-by-step explanation:
The "n" in the formula refers to the number of sides. The polygon shown has 6 sides, so the sum of interior angles is ...
S = 180°(6 -2) = 720°