Which of the statements supports the conclusion from the diagram and the given information.
a) vertical angles are equal in measure.
b) perpendicular lines meet to form right angles.
c) adjacent angles whose exterior sides are perpendicular rays are complementary.
d) adjacent angles whose exterior sides are perpendicular rays are supplementary.

C. adjacent angles whose exterior sides are perpendicular rays are complementary.

Step-by-step explanation:

We are given that line RU is perpendicular to line SW.

We are given that conclusion is  

Now, we have to find the statement that supports the conclusion from the diagram and given information

The line RU and SW are perpendicular to each other therefore, they made right angle to each other.

Adjacent angles: That angles in which one vertex and one ray is common are called adjacent angles.

Complementary angles: when the sum of adjacent angles is 90 degrees. Then, the adjacent angles are complementary.

Angle SPT and angle TPU are adjacent angles and complementary.

Therefore, option C is correct option.Because , it supports the conclusion and given information.

Answer : C .adjacent angles whose exterior sides are perpendicular rays are complementary.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.