Transcript Difficulty: Medium In the figure above, if PQRS is a quadrilateral and TUV is a triangle, what is the sum of the degree.

Difficulty:
Medium
In the figure above, if PQRS is a quadrilateral and TUV is a triangle, what is the
sum of the degree measures of the marked angles?
a) 420
b) 490
c) 540
d) 560
HINT
e) 580
Notice that of the seven marked angles, three are the angles of triangle TUV
and the other four are the angles of quadrilateral PQRS. If you know the sum
of the degree measures of the angles of a triangle and the sum of the degree
measures of the angles of a quadrilateral, you can find the sum of the degree
measures of all seven angles.
C: 540
Explanation:
The marked angles in the figure are angles P, Q, R, and S, which form a
quadrilateral, and angles T, U, and V, which form a triangle. The sum of the
degree measures of the angles of a quadrilateral is 360, and the sum of the
degree measures of the angles of a triangle is 180. Therefore, the sum of the
degree measures of the marked angles is 360 plus 180, which is 540.