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.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.